1. K.Ravi and M.Arunkumar, On The Hyers-Ulam-Rassias Stability of The Functional Equation, Applied Science Periodical, Vol. 7(4), (2005), 255-261.
2. K.Ravi and M.Arunkumar, On The Cubic Functional Equation, Applied Science Periodical, Vol.VIII, No.4, (2006), 281-285.
3. K.Ravi and M.Arunkumar, On The Generalized Hyers-Ulam- Rassias Stability of a Cubic Functional Equation, International Review of Pure and Applied Mathematics, Vol.2, No.1, (2006), 13-23.
4. K.Ravi and M.Arunkumar, On The Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations, International Journal of Pure and Applied Mathematics Vol 28, No. 1, (2006) , 85-94.
5. E.Thandapani, K.Ravi and M.Arunkumar, On The Solution of the Generalized Quartic Functional Equation, Far East Journal of Applied Mathematics, Vol 24, No. 3, (2006), 297-312.
6. K.Ravi and M.Arunkumar, On A Functional Equation Characterizing polynomials of degree three, International Review of Pure and Applied Mathematics, Vol.3 No.2, (2007), 165-172.
7. K.Ravi and M.Arunkumar, Hyers-Ulam-Rassias of a Quartic Functional Equation, International Journal of pure and Applied Mathematics Volume 34, No.2, (2007), 247-260.
8. K.Ravi and M.Arunkumar, Stability of Quadratic Functional Equation, International Journal of pure and Applied Mathematics Volume 36, No. 3, (2007), 391-402.
9. K.Ravi and M.Arunkumar, On The Hyers-Ulam-Rassias Stability of A Particular Quadratic Functional Equation, Applied Science periodical, Vol. IX, No.4, Nov 2007.
10. K.Ravi and M.Arunkumar, On the Ulam-Gavruta-Rassias stability of a orthogonally Euler-Lagrange quadratic functional Equation, “FIDA Euler’s 300th Birthday IJMASS Special issue” IJAMAS Vol. 2, Fe. No. 7, Feb 07, 143-156.
11. K.Ravi and M.Arunkumar, On a n- dimensional additive Functional Equation with fixed point Alternative, Proceedings of International Conference on Mathematical Sciences 2007, 314-330.
12. K.Ravi and M.Arunkumar, On A Quadratic Functional Equation with fixed point Alternative, Journal of Nonlinear Functional Equations and Differential Equations, Dec 2007.
13. K.Ravi and M.Arunkumar, Stability of a 3- variable Quadratic Functional Equation, Journal of Quality Measurement and Analysis, 4(1), (2008), 97-107.
14. K.Ravi, M.Arunkumar and E.Thandapani, On a General Solution of A Generalized Quartic Functional Equation, Journal of Nonlinear Functional Analysis and Differential equations. Vol 2 No. 2, (2008), 131-142.
15. K.Ravi and M.Arunkumar, On a General Solution of a Quartic functional Equation, J. of Combinatorics, Information and System Sciences, Vol. 33, Nos. 3-4 (2008), 373-386.
16. K.Ravi, M.Arunkumar, R.Murali, On the Generalized Hyers –Ulam-Rassias Stability of a quadratic Functional Equations, Journal of Inequalites Pure and Applied Mathematics, Vol 9, Issue-1, (2008), 1-5.
17. K.Ravi, M.Arunkumar and J.M. Rassias, Ulam stability for the orthogonally general Euler-Lagrange type functional equation, International Journal of Mathematical Sciences, Vol.3, No. 08, Autumn (2008), 36-47.
18. K.Ravi, M.Arunkumar and J.M. Rassias, Ulam stability for the orthogonally Cauchy – Jensen Quartic functional equation, Proceedings of the National Conference on Industrial Applications on Mathematics, (2008), 109-125.
19. K. Ravi, J.M. Rassias, M. Arunkumar and R. Kodandan, Stability of a Generalized Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation, Journal of Inequalities Pure and Applied Mathematics, Vol 10, Issue 4, (2009), 29 pages.
20. M. Arunkumar, Stability of a functional equation in dq-normed space, International Journal of pure and Applied Mathematics, Vol 57, No.2, (2009), 241-250.
21. M.Arunkumar, K. Ravi, Stability Of Mixed Type Cubic And Quartic Functional Equation In Orthogonality Space, Proceedings of the National Conference on Applications of Mathematics in Science and Engineering, Feb’ 2010, 24-32.
22. M. Arunkumar, Three Dimensional Quartic Functional Equation In Fuzzy Normed Spaces, Far East Journal of Applied Mathematics, 41(2), (2010), 83-94.
23. M. Arunkumar, Solution and Stability of Arun-Additive functional equations, International Journal Mathematical Sciences and Engineering Applications, Vol 4, No. 3, (2010), 33-46.
24. G. Ganapathy, S. Murthy, M. Arunkumar, Properties of Wronskian and Partial Wronskian, International Journal of pure and Applied Mathematics, Vol 63, No 1, (2010) , 21-30.
25. M. Arunkumar, S. Hema Latha, Orthogonal Stability Of 2 Dimensional Mixed Type Additive And Quartic Functional Equation, International Journal of pure and Applied Mathematics, 63 No.4, (2010), 461-470.
26. M. Arunkumar, G. Vijayanandhraj, S. Ramamoorthi, Stabilitiy of A Euler-Lagrange Quadratic Functional Equation In Fuzzy normed spaces, International Journal Mathematical Sciences and Engineering Applications, Vol.4, No. IV, (2010), 209-219.
27. M. Arunkumar, S. Hema Latha, S. Ramamoorthi, HUR, UGR And JMR Stabilities Of A Euler-Lagrange Quadratic Functional Equation In dq-Normed Spaces, International Journal Mathematical Sciences and Engineering Applications, Vol.4, No. IV, (2010), 243-252.
28. M. Arunkumar, G. Ganapathy, S. Murthy, S. Karthikeyan, Stability of the Generalized Arun-additive functional equation in Intuitionistic fuzzy normed spaces, International Journal Mathematical Sciences and Engineering Applications, Vol.4, No. V, (2010), 135-146.
29. M. Arunkumar, Solution and stability of a functional equation originating from arithmetic mean of consecutive Terms of an arithmetic progression, FUNCTIONAL EQUATIONS IN MATHEMATICAL ANALYSIS, Dedicated to the Memory of the 100th Anniversary of S.M.Ulam, SPRINGER, 2010.
30. M. Arunkumar, Additive functional equations, Proceedings of International Congress on Mathematics 2010, ICM 2010.
31. J.M. Rassias, K.Ravi, M.Arunkumar and B.V.Senthil Kumar, Ulam Stability of Mixed type Cubic and Additive functional equation, Functional Ulam Notions (F.U.N) Nova Science Publishers, Chapter 13, (2010), 149 – 175.
32. M. Arunkumar, K. Ravi, M.J. Rassias, Stability of a Quartic and Orthogonally Quartic functional equation, Bulletin of Mathematical Analysis and Application, Vol 3 (3), (2011), 13-24.
33. M. Arunkumar and C. Leela Sabari, Solution and stability of a functional equation originating from a chemical equation, International Journal Mathematical Sciences and Engineering Applications, 5(2) (2011), 1-8.
34. M. Arunkumar, G. Ganapathy, S. Murthy, Determinant for non square matrices, International Journal Mathematical Sciences and Engineering Applications, Vol. 5, No. V, (September, 2011), 389-401.
35. M. Arunkumar, V. Arasu, N. Balaji, Fuzzy Stability of a 2- Variable Quadratic Functional Equation, International Journal Mathematical Sciences and Engineering Applications, 5 (4) (July, 2011), 331-341.
36. M. Arunkumar, G. Ganapathy, S. Murthy, Stability of a functional equation having nth order solution in Generalized 2-Normed Spaces, International Journal Mathematical Sciences and Engineering Applications, Vol. 5 No. IV (July, 2011), 361-369.
37. M. Arunkumar, S. Jayanthi, S. Hema Latha Stability of quadratic derivations of Arun-quadratic functional equation, International Journal Mathematical Sciences and Engineering Applications, Vol. 5, No. V, (Sept. 2011), 433-443.
38. M. Arunkumar, S. Karthikeyan, Solution and stability of n-dimensional mixed Type additive and quadratic functional equation, Far East Journal of Applied Mathematics, Volume 54, Number 1, (2011), 47-64.
39. Ravi, M.Arunkumar and P. Narasimman, Fuzzy stability of a Additive functional equation, International Journal of Mathematical Sciences, Vol. 9, No. A11, (Autumn 2011), 88-105.
40. M. Arunkumar, C. Devi Shyamala Mary, Solution and generalized Ulam - Hyers stability of a cubic functional equation, Proceedings of the ”Heber International Conference on Applications of mathematics and Statistics”, (2012), 46-55.
41. M. Arunkumar, S. Murthy, G. Ganapathy, Solution and Stability of n-dimensional Quadratic functional equation, ICCMSC, 2012 Computer and Information Science (CCIS) , Springer Verlag-Germany, 238, (2012), 384-394.
42. M. Arunkumar, S. Karthikeyan, Solution and Stability of n-dimensional Additive functional equation, International Journal of Applied Mathematics, 25 (2), (2012), 163-174.
43. S. Murthy, G. Ganapathy, M. Arunkumar, Stability Of Generalized n-Dimensional Cubic Functional Equation In Fuzzy Normed Spaces, International Journal of pure and Applied Mathematics, Volume 77 (2), (2012), 179 – 190.
44. M. Arunkumar, S. Ramamoorthi, Penta and Hexa Functional Equations, JP Journal of Applied Mathematics, Vol 2, Issue 1 & 2, (2012), 49-63.
45. M. Arunkumar, John M. Rassias, On the generalized Ulam-Hyers stability of an AQ-mixed type functional equation with counter examples, Far East Journal of Applied Mathematics, Volume 71, No. 2, (2012), 279-305.
46. M. Arunkumar, G. Vijayanandhraj, S. Karthikeyan, Solution and Stability of a Functional Equation Originating From n Consecutive Terms of an Arithmetic Progression, Universal Journal of Mathematics and Mathematical Sciences, Volume 2, No. 2, (2012), 161-171.
47. M. Arunkumar, S. Ramamoorthi, Solution and stability of a quadratic functional Equation in Banach space and its application, Far East Journal of Dynamical Systems, Vol 18, No 1, (2012), 21 – 32.
48. M. Arunkumar, Matina J. Rassias, Yanhui Zhang, Ulam – Hyers stability of a 2- variable AC – mixed type functional equation: direct and fixed point methods, Journal of Modern Mathematics Frontier (JMMF), 1 (3), (2012), 10-26.
49. M. Arunkumar, T. Namachivayam, Stability of a n-dimensional additive functional equation in random normed space, International Journal of Mathematics and Analysis, (IJMA), Volume 4, No. 2, (2012), 179-186.
50. M. Arunkumar, G. Vijayanandhraj, Stability of a reciprocal functional equation in menger probabilistic normed spaces, International Review of Pure and Applied Mathematics, Vol. 8, No. 2, (2012), 71–78.
51. M. Arunkumar, S. Hema latha, C. Devi Shaymala Mary, Functional equation originating from arithmetic Mean of consecutive terms of an arithmetic Progression are stable in Banach space: Direct and fixed point method, JP Journal of Mathematical Sciences, Vol 3(1), (2012), 27-43.
52. M. Arunkumar, S. Hemalatha, 2-Variable AQ-Functional Equation, International Journal of Physical, Chemical and Mathematical Sciences (IJPCMS) - ISSN 2278 – 683X , Vol. 1; No. 2, (2012), 99 - 126.
53. John M. Rassias, M. Arunkumar, Stability of the Leibniz additive-quadratic functional equation in random normed spaces: a fixed point method, Journal of Applied Analysis and Computation, Volume 2, Number 4, November 2012, pp. 1-15.
54. M. Arunkumar, Solution and stability of modified additive and quadratic functional equation in generalized 2-normed spaces, International Journal Mathematical Sciences and Engineering Applications, Vol. 7 No. I (January, 2013), 383-391.
55. S. Murthy, M. Arunkumar, G. Ganapathy, P. Rajarethinam, Stability of mixed type additive quadratic functional equation in Random Normed space, International Journal of Applied Mathematics (IJAM), Vol. 26. No. 2 (2013), 123-136.
56. M. Arunkumar, P. Agilan, Additive functional equation and inequality are Stable in Banach space and its applications, Malaya Journal of Matematik (MJM), Vol 1, Issue 1, (2013), 10-17.
57. John M. Rassias, Matina J. Rassias, M.Arunkumar, T. Namachivayam, Ulam - Hyers stability of a 2- variable AC – mixed Type functional equation in Felbin's type spaces: Fixed point methods, International Mathematical Forum, Vol. 8, No. 27, (2013), 1307 – 1322.
58. M. Arunkumar, Generalized Ulam - Hyers stability of derivations of a AQ - functional equation, “Cubo A Mathematical Journal” dedicated to Professor Gaston M. N'Guérékata on the occasion of his 60th Birthday Vol.15, No 01, (2013), 159–169.
59. M. Arunkumar, T. Namachivayam, Stability of a n-dimensional additive functional equation in random normed space: A fixed point approach, International Journal of Physical, Chemical and Mathematical Sciences (IJPCMS) - ISSN 2278 – 683X, Vol. 2; No. 1, (2013), 100 - 108.
60. M. Arunkumar, N. Maheshkumar , Ulam - Hyers, Ulam - TRassias, Ulam - JRassias stabilities of an additive functional equation in Generalized 2- Normed Spaces: Direct and Fixed Point Approach, Global Journal of Mathematical Sciences: Theory and Practical, Volume 5, Number 2 (2013), pp. 131-144.
61. M. Arunkumar, P. Agilan, Additive Quadratic functional equation are Stable in Banach space: A Fixed Point Approach, International Journal of pure and Applied Mathematics, Vol. 86, No.6, (2013), 951 – 963 .
62. M. Arunkumar, P. Agilan, Additive Quadratic functional equation are Stable in Banach space: A Direct Method, Far East Journal of Applied Mathematics, Volume 80, No. 1, (2013), 105 – 121.
63. M. Arunkumar, P. Agilan, S. Ramamoorthi, Perturbation of AC-mixed type functional equation, Proceedings of National conference on Recent Trends in Mathematics and Computing (NCRTMC-2013), 7-14, ISBN 978-93-82338-68-0.
64. M. Arunkumar, S. Hema Latha, N. Maheshkumar, Ulam - Hyers, Ulam - TRassias, Ulam - JRassias Stabilities Of An Quadratic Functional Equation In Generalized 2 - Normed Spaces, Proceedings of National conference on Recent Trends in Mathematics and Computing (NCRTMC-2013), 15-20, ISBN 978-93-82338-68-0.
65. S. Murthy, M. Arunkumar, G. Ganapathy, Fuzzy Stability Of A 3-D Additive Functional Equation: Hyers Direct And Fixed Point Method, Proceedings of National conference on Recent Trends in Mathematics and Computing (NCRTMC-2013), 69-79, ISBN 978-93-82338-68-0.
66. M. Arunkumar, S. Karthikeyan, T. Namachivayam, Random Stability Of A Functional Equation Originating From A Harmonic Progression, Proceedings of National conference on Recent Trends in Mathematics and Computing (NCRTMC-2013), 80-86, ISBN 978-93-82338-68-0.
67. M. Arunkumar, T. Namachivayam, Stability of n- homomorphisms, n- derivations of an n- dimensional additive functional equation in C ternary algebras¸ International Journal of Advanced Computer Research (IJACR), Volume-3, Number-3, Issue-11, (September-2013), 251-256.
68. S. Murthy, M. Arunkumar, G. Ganapathy, Perturbation of n- dimensional quadratic functional equation: A fixed point approach, International Journal of Advanced Computer Research (IJACR), Volume-3, Number-3, Issue-11,(September-2013), 271-276.
69. M. Arunkumar, Functional equation originating from sum of First natural numbers is stable in Cone Banach Spaces: Direct and Fixed Point Methods, International Journal of Information Science and Intelligent System (IJISIS ISSN: 2307-9142) , Vol. 2 No. 4 (2013), 89 - 104.
70. M. Arunkumar, T. Namachivayam, Immovability of Cauchy Additive Functional Equation In Various - 2 Normed Spaces, Proceedings of International Conference on Mathematics and Computing, ICMCE – 2013, 594 – 603, ISBN 978-93-82338-89-5.
71. M. Arunkumar, n – dimensional reciprocal functional equation is stable in cone banach spaces, International Journal of Physical, Chemical and Mathematical Sciences (IJPCMS) - ISSN 2278 – 683X, Vol 2(2), (2013), 88-94.
72. Matina J. Rassias, M. Arunkumar, S. Ramamoorthi, Stability of the Leibniz additive-quadratic functional equation in Quasi-Beta normed space: Direct and fixed point methods, Journal Of Concrete And Applicable Mathematics (JCAAM), Vol. 14 No. 1-2, (2014), 22 – 46.
73. M. Arunkumar, G. Britto Antony Xavier, Functional equation Originating from sum of higher Powers of Arithmetic Progression using Difference Operator is stable in Banach space: Direct and Fixed point Methods, Malaya Journal of Matematik (MJM), Vol 1. Issue 1, (2014), 49-60.
74. M. Arunkumar, S. Karthikeyan, Solution and Intuitionistic Fuzzy stability of n- dimensional quadratic functional equation: Direct and Fixed Point Methods, International Journal of Advanced Mathematical Sciences (IJAMS), Vol 2 (1), (2014), 21-33.
75. M. Arunkumar, Perturbation of n Dimensional AQ - mixed type Functional Equation via Banach Spaces and Banach Algebra: Hyers Direct and Alternative Fixed Point Methods, International Journal of Advanced Mathematical Sciences (IJAMS), Vol. 2 (1), (2014), 34-56.
76. M. Arunkumar, S. Karthikeyan, Solution and Stability of A Reciprocal Functional Equation Originating From n-Consecutive Terms Of A Harmonic Progression: Direct And Fixed Point Methods, International Journal of Information Science and Intelligent System (IJISIS), ISSN:2307-9142), 3(1), (2014), 151-168.
77. M. Arunkumar, P. Agilan, Random stability of a additive quadratic Functional equation, Proceedings of International Conference on Applied Mathematical Models, ICAMMA 2014, 271 – 278.
78. M. Arunkumar, T. Namachivayam, Stability of Associations and Distributions of a Associative Functional Equation in C*−Algebras, Proceedings of International Conference on Applied Mathematical Models, ICAMMA 2014, 285 – 289.
79. M. Arunkumar, T. Namachivayam, Stability of n- dimensional quadratic functional Equation in Fuzzy normed spaces: Direct And Fixed Point Methods, Proceedings of the International Conference on Mathematical Methods and Computation, Jamal Academic Research Journal an Interdisciplinary, (February 2014), 288-298.
80. M. Arunkumar, P. Agilan, C. Devi Shyamala Mary, Permanence of A Generalized AQ Functional Equation In Quasi-Beta Normed Spaces, A Fixed Point Approach, Proceedings of the International Conference on Mathematical Methods and Computation, Jamal Academic Research Journal an Interdisciplinary, (February 2014), 315-324.
81. M. Arunkumar, C. Vijayalakshmi, G. Vijayanandhraj, 2 – Variable Associative functional equation, Proceedings of the International Conference on Mathematical Methods and Computation, Jamal Academic Research Journal an Interdisciplinary, (February 2014), 299-308.
82. John M. Rassias, M. Arunkumar, S. Ramamoorthi, S.Hemalatha, Ulam - Hyers stability of a 2- variable AC - mixed type Functional equation in Quasi - Beta normed spaces: Direct and fixed point methods, Malaya Journal of Matematik (MJM), Vol 2 (2), (2014), 108 – 128.
83. M. Arunkumar, Matina J. Rassias, C. Devi Shyamala Mary, Solution and stability of a functional equation Originating from consecutive terms of an Harmonic progression, Proceedings of National Seminar on Recent Trends in Mathematics and its Applications, (2014), 35-40, ISBN: 978-93-82570-31-8.
84. M.Arunkumar, P. Agilan, Fixed point stability of a AQ functional equation in RN space, Proceedings of National Conference on Pure and Applied Mathematics, (2014), 37-44, ISBN: 978-93-83459-46-9.
85. M. Arunkumar, N. Mahesh Kumar, Ulam- Hyers, Ulam-TRassias, Ulam-JRassias Stabilities of a Quadratic Functional Equation in Generalized 2- normed spaces: Fixed Point Approach, Proceedings of National Seminar on Recent Trends in Mathematics and its Applications, (2014), 26-34, ISBN: 978-93-82570-31-8.
86. M. Arunkumar, S. Karthikeyan, Brahmagupta Quadratic Functional Equations Connected with Homomorphisms and Derivations on Non-Archimedean Algebras: Direct and Fixed Point Methods, International Conference on Mathematical Sciences, (ICMS 2014), Elsevier Publication, 31-39, ISBN – 978-93-5107-261-4.
87. S. Murthy, M. Arunkumar, G. Ganapathy, Solution and Stability of n -Dimensional Cubic Functional Equation in Felbin’s Type Spaces: Direct and Fixed Point Methods, International Conference on Mathematical Sciences, (ICMS 2014), Elsevier Publication, 81-88, ISBN–978-93-5107-261-4.
88. M. Arunkumar, C. Devi Shyamala Mary, Perturbation of AC - Mixed type Functional Equation: A Fixed Point Approach, International Journal of Computing Algorithm, Vol. 3, (June 2014), 1060-1066.
89. M. Arunkumar, P. Agilan, Fixed point stability of a AQ functional equation in RN space, Proceedings of National Conference Pure and Applied Mathematics, (2014), 37-44, ISBN :978-93-83459-46-9.
90. K. Balamurugan, M. Arunkumar, P. Ravindiran, Generalized Hyers-Ulam stability for a mixed additive cubic (AC) Functional Equation in Quasi-Banach Spaces, Proceedings of the International Conference on Mathematics And its Applications-2014 (ICMAA-2014), India, Vol.1(2014), pp. 234-261, ISBN-978-81-923752-6-7.
91. M. Arunkumar, T. Namachivayam, Intuitionistic Fuzzy Stability of a n-Dimensional Cubic Functional Equation: Direct and Fixed Point Methods, Intern. J. Fuzzy Mathematical Archive, Vol. 7, No. 1, (2015), 1-11 .
92. John M. Rassias, M. Arunkumar, E. Sathya, N. Mahesh Kumar, Solution And Stability Of A ACQ Functional Equation In Generalized 2-Normed Spaces, Intern. J. Fuzzy Mathematical Archive, Vol. 7, No. 2, (2015), 213-224.
93. K. Balamurugan, ,M. Arunkumar, P. Ravindiran, A fixed point approach to the stability of a mixed type Additice-Cubic (AC) Functional equation in Quasi-Beta Normed Spaces, Jamal Academic Research Journal an Interdisciplinary, (2015), 58-73.
94. M. Arunkumar, S. Murthy, S. Ramamoorthi, G. Ganapathy, Stability of a n- dimensional quadratic Functional equation in Quasi-Beta Normed Spaces: Direct and Fixed Point Methods, Jamal Academic Research Journal an Interdisciplinary, (2015), 39-46 .
95. M. Arunkumar, S. Hema latha, Additive – Quartic Functional Equations Are Stable in Random Normed Space, Jamal Academic Research Journal an Interdisciplinary, (2015), 31-38.
96. M. Arunkumar, P. Agilan, Stability of A AQC Functional Equation in Fuzzy Normed Spaces: Direct Method, Jamal Academic Research Journal an Interdisciplinary,(2015),78-86 .
97. S. Murthy, M. Arunkumar, M. Arulselvan, System Of Additive Functional Equations, Jamal Academic Research Journal an Interdisciplinary, (2015), 87-93 .
98. M. Arunkumar, C. Devi Shyamala Mary, General Solution and Generalized Ulam – Hyers stability of a Dimensional Additive Quadratic Functional Equation, Jamal Academic Research Journal an Interdisciplinary, (2015), 94-101.
99. John M. Rassias, M. Arunkumar, T. Namachivayam, Stability Of The Leibniz Additive-Quadratic Functional Equation In Felbin’s And Random Normed Spaces: A Direct Method, Jamal Academic Research Journal an Interdisciplinary, (2015), 102-110.
100. M. Arunkumar, S. Karthikeyan, Functional Equation Originating From Consecutive Terms Of An Arithmetic Progression Are Stable In Banach Space: Direct and Fixed Point Methods, Jamal Academic Research Journal an Interdisciplinary, (2015), 111-118 .
101. M. Arunkumar, S. Karthikeyan, S. Hema latha, Stability of a quadratic functional equation originating from the median of a triangle: a direct method, Proceedings on the National conference on Mathematics and computer Applications – 2015, 147-152.
102. M. Arunkumar, S. Karthikeyan, Stability of a quadratic functional equation originating from the median of a triangle: fixed point method Proceedings on the National conference on Mathematics and computer Applications - 2015. 132-137.
103. S. Murthy , M. Arunkumar , G. Ganapathy, Perturbation of n-dimensional Additive functional equation in Banach space and Banach Algebra, Hyers Direct And Fixed Point Methods, Global Journal of Pure and Applied mathematics, Vol. 11 No. 2 (2015), 655 – 669.
104. K. Balamurugan, M. Arunkumar, P. Ravindiran, Generalized Hyers-Ulam stability for a mixed additive – cubic (AC) Functional Equation in Quasi-Banach Spaces, International Journal of Mathematical Analysis, (Accepted).**
105. M. Arunkumar, S. Hemalatha, E. Sathya 2 – Variable AQCQ – functional equation, International Journal of Advanced Mathematical Sciences, 3 (1) (2015), 65-86 .
106. S. Murthy, M. Arunkumar, V. Govindan, General Solution and Generalized Ulam-Hyers Stability of a Generalized n- Type Additive Quadratic Functional Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods, International Journal of Advanced Mathematical Sciences, 3 (1) (2015), 25-64.
107. Matina J. Rassias, M. Arunkumar, E. Sathya, Stability of a k- cubic functional equation in Quasi - beta normed spaces: direct and Fixed point methods, British Journal of Mathematics and Computer Science, 8 (5), (2015), 346 – 360.
108. M. Arunkumar, C. Devi Shyamala Mary, G. Shobana, Simple AQ And Simple CQ Functional Equations, Journal Of Concrete And Applicable Mathematics (JCAAM), Vol 13, Issue 1/2 , Jan – Apr 2015, 120 - 151.
109. K. Balamurugan, M. Arunkumar, P. Ravindiran, A Fixed point approach to the stability of a mixed Additive-Quadratic-Cubic-Quartic(AQCQ) functional equation in quasi−b−normed spaces, Malaya J. Mat. S(1) (2015) 153–171.
110. M. Arunkumar, A. Vijayakumar, S. Karthikeyan, S. Ramamoorthi, Stability of n-dimensional additive functional equation: direct and fixed point methods, Malaya Journal of Mathematics, (2015), 179 - 191.
111. M. Arunkumar, P. Agilan, N. Mahesh kumar, Ulam-Hyers stability of a ri type n dimensional additive quadratic functional equation in quasi beta normed spaces: a fixed point approach, Malaya Journal of Mathematics, (2015), 192 - 202.
112. M. Arunkumar, P. Agilan, Solution and Ulam-Hyers stability of a ri type n dimensional additive quadratic functional equation in quasi beta normed spaces, Malaya Journal of Mathematics, (2015), 203 - 214.
113. M. Arunkumar, S. Murthy, S. Hema latha, M. Arulselvan , Additive – quartic functional equations are stable in random normed space: a fixed point method, Malaya Journal of Mathematics, (2015), 215 - 227.
114. John. M. Rassias, M. Arunkumar, S. Karthikeyan, Lagrange's quadratic functional equation connected with homomorphisms and derivations on Lie C*-algebras: direct and fixed point methods, Malaya Journal of Mathematics, (2015), 228 - 241.
115. M. Arunkumar, S. Murthy, T. Namachivayam, G. Ganapathy, Stability of -dimensional quartic functional equation in generalized 2 normed spaces using two different methods, Malaya Journal of Mathematics, (2015), 242 – 251.
116. K. Balamurugan, M. Arunkumar, P. Ravindiran, A Fixed Point Approach to the stability of a mixed additive cubic(AC) Functional Equation in Quasi-b-normed Spaces , Special issue of the International Conference On Mathematical Methods and Computation, Jamal Academic Research Journal: an Interdisciplinary, (January 2015), pp. 58-73.
117. K. Balamurugan, M. Arunkumar, P. Ravindiran, Generalized Hyers-Ulam stability for a mixed quadraticquartic(QQ) Functional Equation in Quasi-Banach Spaces , British Journal of Mathematics and Computer Science, 9(2): 122-140, 2015, Article no. BJMCS.2015.192. DOI : 10.9734/BJMCS/2015/17551.
118. K. Balamurugan, M. Arunkumar, P. Ravindiran, A Fixed Point Approach to the stability of a mixed quadratic quartic(QQ) Functional Equation in Quasi-b-normed Spaces , International Journal of Mathematics Trends and Technology,Vol.20, no.1(2015), pp. 25-40. doi:10.14445/22315373/IJMTT-V20P504.
119. K. Balamurugan, M. Arunkumar, P. Ravindiran, The general Solution and stability of a mixed Additive-Quadratic-Cubic-Quartic (AQCQ) functional equation in quasi−b−normed spaces, International Journal of Mathematical Sciences (Accepted), (2015).
120. M. Arunkumar, P. Agilan, C. Devi Shyamala Mary, Permanence of A Generalized AQ Functional Equation In Quasi-Beta Normed Spaces, International Journal of Pure and Applied Mathematics, Vol. 101, No. 6 (2015), 1013- 1025.
121. M. Arunkumar, G.Shobana, S. Hemalatha, Ulam – Hyers, Ulam – Trassias, Ulam-Grassias, Ulam – Jrassias Stabilities of A Additive – Quadratic Mixed Type Functional Equation In Banach Spaces, International Journal of Pure and Applied Mathematics, Vol. 101, No. 6 (2015), 1027- 1040.
122. M. Arunkumar, A. Vijayakumar, S. Karthikeyan, Ulam-Hyers Stability Of Additive And Reciprocal Functional Equations: Direct And Fixed Point Methods, International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Volume 1, Issue 4, (2015), 59- 77.
123. John. M. Rassias, M. Arunkumar, S. Karthikeyan, Stability of a quadratic functional equation originating From sum of the medians of a triangle in fuzzy ternary Banach algebras: direct and fixed point methods, International Journal of Mathematics and its Applications, Volume 3, Issue 4 - A (2015), 45 - 64.
124. M. Arunkumar, M. J. Rassias, S.Hemalatha, Yanhui Zhang, Ulam Stabilities of k - AC - Mixed Type Functional Equations In Three Variables, International Journal of Mathematics and its Applications, Volume 3, Issue 4 – C (2015), 49 - 78.
125. John M. Rassias, M. Arunkumar, P. Agilan, Solution and Ulam – Hyers stability of an additive – quadratic functional equation in Banach Space: Hyers Direct and Fixed Point Methods, International Journal of Mathematics and its Applications, Volume 3, Issue 4 – D (2015), 17-46.
126. K. Balamurugan, M. Arunkumar, P. Ravindiran, Solution and Stability of System of Quartic Functional Equations, Malaya Journal of Matematik (MJM), 3(3)(2015) 250–267.
127. John M. Rassias, M. Arunkumar, E. Sathya, T. Namachivayam, Various Generalized Ulam - Hyers Stabilities of a Nonic Functional Equation, Tbilisi Mathematical Journal, 9(1) (2016), pp. 159 - 196.
128. M. Arunkumar, Stability of n- dimensional Additive functional equation in Generalized 2 - normed space, Demonstrato Mathematica 49 (3), (2016), 319 - 330.
129. M. Arunkumar, P. Agilan, Stability of a Quadratic- Cubic Functional Equation In Intuitionistic Fuzzy Normed Spaces, International Journal of Applied Engineering Research, ISSN 0973-4562 Vol. 11 No.1 (2016), 339-349.
130. S.Murthy, M. Arunkumar, V. Govindan, T. Namachivayam, General Solution And Four Types Of Ulam – Hyers Stability Of n-Dimensional Additive Functional Equation In Banach And Fuzzy Banach Spaces: Hyers Direct And Fixed Point Methods, International Journal of Applied Engineering Research, ISSN 0973-4562 Vol. 11 No.1 (2016), 324 - 338.
131. M. Arunkumar, A. Bodaghi, J. M. Rassias, E. Sathya, The general Solution and approximations of a Decic type functional equation in various normed spaces, Journal of the Chungcheong Mathematical Society, Vol. 29, No. 2 (2016), 287-328 (http://dx.doi.org/10.14403/jcms.2016.29.2.287).
132. V. Govindan, S Murthy, M Arunkumar, General solution and generalized Hyers-Ulam stability of new n-type additive quadratic functional equation stable in a Banach space: Using direct method International Journal of Applied Research, 2016, 2(5), 86-98.
133. S. Murthy, M Arunkumar, V Govindan, S Sree Shanmugavelan, Stability of quadratic functional equations, International Journal of Applied Research, 2016, 2(6), 03-08
134. V. Govindan, S. Murthy, M. Arunkumar, Stability of n-type Cubic Functional Equation in Non- Archimedean Normed space: using direct and fixed point methods, International Journal of Mathematics Trends and Technology (IJMTT) – Volume 32 Number 2 (April 2016), 87-96.
135. S.Murthy, M.Arunkumar and V.Govindan, General Solution and Generalized Hyers-Ulam Stability of n-dimensional Cubic Functional Equation in Various Normed Space: Direct and Fixed Point Methods, International Journal of Mathematics And its Applications, Volume 4, Issue 1-D (2016), 81-109.
136. John. M. Rassias, M. Arunkumar, S. Karthikeyan, Euler’s Quadratic Functional Equation Associated to JC*-Algebra Isomorphisms and JC*-Algebra Derivations between JC*-Algebras, Global Journal of Pure and Applied Mathematics, Volume 12, No. 3 (2016), 530-537.
137. M. Arunkumar, John M Rassias, S. Karthikeyan, Stability Of A Leibniz Type Additive And Quadratic Functional Equation In Intuitionistic Fuzzy Normed Spaces, Advances in Theoretical and Applied Mathematics, Volume 11, Number 2 (2016), pp. 145-169.
138. M. Arunkumar, S. Karthikeyan and S. Ramamoorthi , Generalized Ulam-Hyers Stability of N-Dimensional Cubic Functional Equation in FNS and RNS: Various Methods Middle-East Journal of Scientific Research 24 (S2): 386-404, 2016.
139. V. Govindan, S. Murthy , M. Arunkumar, Generlized Hyers Ulam - Rassias stability of new leibniz type of n-dimensional quartic functional equation in quasi-beta normed space: direct and fixed point methods , International Journal of Applied Mathematical Sciences, ISSN 0973-0176 Volume 9, Number 2 (2016), pp. 125-140.
140. M. Arunkumar, J.M. Rassias, G. Ganapathy, Leibniz Type AQ - Functional Equation, International Journal of Mathematics And its Applications, Volume 4, Issue 2 - C (2016), 149-169.
141. John. M Rassias, M. Arunkumar, E.Sathya, Stability of Difference a –Additive and General Alternative a - Additive Functional Equations, International Conference on Recent Advances in Technology, Engineering and Science ’July 2016 (ICRATES’16) ISBN:978-93-5258-740-7.
142. M. Arunkumar, C. Devi Shyamala Mary, Generalized Hyers - Ulam stability of additive - quadratic - cubic - quartic functional equation in fuzzy normed spaces: A direct method, International Journal of Mathematics And its Applications, Volume 4, Issue 4 (2016), 1-16.
143. M. Arunkumar, C. Devi Shyamala Mary, Generalized Hyers - Ulam stability of additive - quadratic - cubic - quartic functional equation in fuzzy normed spaces: A fixed point approach, International Journal of Mathematics And its Applications, Volume 4, Issue 4 (2016), 16-32.
144. M. Arunkumar, E.Sathya, T. Namachivayam, Solution and Stability of a functional equation originating from consecutive terms of a geometric progression, International Journal of Mathematics And its Applications Volume 4, Issue 4 (2016), 33-42.
145. M. Arunkumar, John. M. Rassias, S. Murthy, M. Arulselvan, Ulam – Hyers stability of a 2- variable AC – mixed type functional equation in Paranormed Spaces: direct and fixed point methods, International Journal of Mathematics And its Applications, Volume 4, Issue 4 (2016), 43-58.
146. M Saravanan, S Murthy, M Arunkumar, Generalized hyers-ulam stability mixed type functional equation stable in a Banach space: Using direct method, International Journal of Applied Research (IJAR) 2 (4) (2016), 363-369.
147. G Balasubramaniyan, M Arunkumar, C Muthatamilarasi, Generalized (UH) stability of AQ functional equation in Banach Space: Using direct method, International Journal of Applied Research, (IJAR) 2 (6) (2016), 09-16.
148. M. Arunkumar, E.Sathya, S. Ramamoorthi, General Solution And Generalized Ulam – Hyers Stability Of A Additive Functional Equation Originating From N Observations Of An Arithmetic Mean In Banach Spaces Using Various Substitutions In Two Different Approaches, Malaya Journal of Matematik, 5(1) (2017), 4–18.
149. M. Maria Susai Manuel, M. Arunkumar, S. Murthy, G. Ganapathy, Quartic Functional Equation Involving Sum Of Functions Of Consecutive Variables Is Stable In Felbin’s Type Cone Normed Spaces, Malaya Journal of Matematik, 5(1) (2017), 29–40.
150. M. Arunkumar, S. Karthikeyan, S. Ramamoorthi, Immovability of n- dimensional quartic functional equation in Felbins type spaces, Malaya Journal of Matematik, 5(1) (2017) 58–71.
151. M. Arunkumar, E. Sathya, P. Narasimman, N. Mahesh kumar, 3 Dimensional Additive Quadratic Functional Equations, Malaya Journal of Matematik, 5(1) (2017), 72–103.
152. J. M. Rassias, M. Arunkumar, E.sathya, N. Mahesh Kumar, Generalized Ulam - Hyers Stability Of A (AQQ): Additive - Quadratic - Quartic Functional Equation, Malaya Journal of Matematik, 5(1) (2017), 122–142.
153. John M. Rassias, M. Arunkumar, N. Mahesh Kumar, General Solution And Generalized Ulam – Hyers Stability Of A Generalized 3 Dimensional AQCQ Functional Equation, Malaya Journal of Matematik, 5(1)(2017), 149–185.
154. S. Pinelas, M. Arunkumar, T. Namachivayam, E. Sathya, General Solution And Two Methods Of Generalized Ulam - Hyers Stability Of N- Dimensional AQCQ Functional Equation In Banach Spaces, Malaya Journal of Matematik, 5(2) (2017), 202–240.
155. M. Arunkumar, S. Karthikeyan, S. Hemalatha, Fixed Point Stability of 2 - Variable AQCQ - Functional equation, Malaya Journal of Matematik 5(2) (2017), 241–264 .
156. M.J.Rassias, M. Arunkumar, E.Sathya, ai Type n- Variable Multi n- Dimensional Additive Functional Equation, Malaya Journal of Matematik, 5(2) (2017), 278–292.
157. J. M. Rassias, M. Arunkumar, S. Karthikeyan, Ulam-Hyers Stability of Quadratic Reciprocal Functional Equation in Intuitionistic Random Normed spaces: Various Methods, Malaya Journal of Matematik, 5(2) (2017), 293–304.
158. M. Arunkumar, G. Britto Antony Xavier, Generalized Ulam - Hyers Stability of a Functional Equation Originating from Sum of Higher Powers of Arithmetic Progression Using Difference Operator in Fuzzy Banach Space: Direct and Fixed Point Methods , Proceedings of ICMA 2017 .
159. John M. Rassias, M. Arunkumar, E. Sathya, Generalized Ulam - Hyers Stability of a Nonic Functional Equation in (; p) Banach Spaces, Proceedings of ICMA 2017.
160. John M. Rassias, M. Arunkumar , S. Karthikeyan , Stability of DGC’S Quadratic Functional Equation in Quasi-Banach Algebras: Direct and Fixed Point Methods, International Journal of Pure and Applied Mathematical Sciences, Volume 10, Number 1 (2017), 41-67 .
161. M. Arunkumar , S. Karthikeyan, Intuitionistic Random Stability of a Quadratic Functional Equation Originating from Sum of The Medians of a Triangle, International Journal of Difference Equations, Volume 12, Number 1 (2017), 55-70.
162. M. Arunkumar, P.Agilan, N.Maheshkumar, Stability of a 2- variable AC - functional equation in Felbin's spaces : a classical approach, Proceedings of National Conference on Advanced Trends in Mathematics, NCTAM – 2017, 132 -142, ISBN978-93-85126-14-7.
163. M. Arunkumar, P.Agilan, Fixed point stability of a 2- variable ac functional Equation in felbin's spaces, Proceedings of National Conference on Advanced Trends in Mathematics, NCTAM – 2017, 143-156, ISBN978-93-85126-14-7.
164. M. Arunkumar, C. Devi Shyamala Mary, AC - mixed type functional equation are stable in Banach Space, Proceedings of National Conference on Advanced Trends in Mathematics, NCTAM – 2017, 157- 166, ISBN978-93-85126-14-7.
165. M. Arunkumar, T. Namachivayam , S. Ramamoorthi, Ulam-hyers stability of additive - quadratic functional Equation in Banach space,Proceedings of National Conference on Advanced Trends in Mathematics, NCTAM – 2017, 167-177, ISBN978-93-85126-14-7.
166. M. Arunkumar, E. Sathya, Stability of a functional equation originating from a Chemical equation, Proceedings of National Conference on Advanced Trends in Mathematics, NCTAM – 2017, 178-184, ISBN978-93-85126-14-7.
167. M.Arunkumar, S.Karthikeyan, Fuzzy Stability Of A Quadratic Functional Equation Originating From the Median of a Triangle, Proceedings of National Conference on Advanced Trends in Mathematics, NCTAM – 2017, 185-197, ISBN978-93-85126-14-7.
168. John M. Rassias, Matina J. Rassias, M. Arunkumar, E.Sathya, - Cubic and - Cubic functional equations, International Journal of Mathematics And its Applications, Volume 5, Issue 3-C (2017), 215-231.
169. Sandra Pinelas, Mohan Arunkumar, Elumalai Sathya, Hyers type stability of a radical reciprocal quadratic Functional equation originating from 3 dimensional Pythagorean means, International Journal of Mathematics And its Applications, Volume 5, Issue 4–A (2017), 45–52.
170. M. Arunkumar, Srinivasa Ramanujan, NCFCIRMS – 2017 , ISBN 978-81-930476-1-3, 18-52.
171. M. Arunkumar, E.Sathya, Fuzzy Stability Of A Functional Equation Originating From A Chemical Equation: Hyers Direct And Fixed Point Method, NCFCIRMS – 2017, ISBN 978-81-930476-1-3, 53-59. .
172. M. Arunkumar, S. Hemalatha, Ulam – Hyers Stabilitiy Of A Quadratic Functional Equation In Generalized 2- Normed Spaces: Fixed Point Approach, NCFCIRMS – 2017, ISBN 978-81-930476-1-3, 111-117.
173. A. Bodaghi, M. Arunkumar, E.Sathya, T. Namachivayam, A new type of the additive functional equations on Intuitionistic fuzzy normed spaces, Communications of the Korean Mathematical Society, Commun. Korean Math. Soc. 32 (2017), No. 4, pp. 915 - 932.
174. M. Arunkumar, P.Agilan and S.Ramamoorthy, Solution and Ulam-Hyers stability of a n - dimensional additive functional equation in Banach space and Banach algebra: direct and fixed point methods, Annals of Pure and Applied Mathematics, Vol. 15, No. 1, 2017, 25-41.
175. M. Arunkumar and E. Sathya, Hyers type Fuzzy stability of a radical reciprocal quadratic functional equation originating from 3 dimensional Pythagorean Means, International Journal Fuzzy Mathematical Archive, Vol. 14, No. 1, 2017, 23-33 .
176. M.Arunkumar, E.Sathya, S.Karthikeyan, G. Ganapathy, T. Namachivayam, Stability of System of Additive Functional Equations in Various Banach Spaces: Classical Hyers Methods, Malaya Journal of Matematik, Volume 6, Issue 1, 2018, 91-112.
177. S. Pinelas, M.Arunkumar, N. Mahesh Kumar, E.Sathya, Stability of General Quadratic - Cubic – Quartic Functional Equation in Quasi Beta Banach Space Via Two Dissimilar Methods, Malaya Journal of Matematik, Volume 6, Issue 1, 2018, 113-128.
178. M.J.Rassias, M. Arunkumar, P.Agilan, General solution and Generalized Ulam - Hyers stability of ri-Type n Dimensional Quadratic-Cubic functional equation in Random Normed Spaces: Direct and Fixed Point Methods, Malaya Journal of Matematik, Volume 6, Issue 1, 2018, 162-176.
179. M.Arunkumar, E.Sathya, C. Devi Shyamala Mary, S. Hema Latha, AQ and CQ Functional Equations, Malaya Journal of Matematik, Volume 6, Issue 1, 2018, 182-205.
180. John M. Rassias, M. Arunkumar, P.Agilan, Solution and Two Types of Ulam - Hyers stability of n Dimensional Cubic- quartic functional equation in Intuitionistic Normed Spaces: Malaya Journal of Matematik, Volume 6, Issue 1, 2018, 213-229.
181. A. Bodaghi, M.Arunkumar, S. Karthikeyan, E.Sathya, Generalized Hyers - Ulam Stability of Functional Equation Deriving from Additive and Quadratic Functions in Fuzzy Banach Space Via Two Different Techniques, Malaya Journal of Matematik, Volume 6, Issue 1, 2018, 242-260.
182. M. Arunkumar, E.Sathya, S. Ramamoorthi, P.Agilan, Ulam - Hyers Stability of Euler - Lagrange Additive Functional Equation in Intuitionistic Fuzzy Banach Spaces: Direct and Fixed Point Methods, Malaya Journal of Matematik, Volume 6, Issue 1, 2018, 276-285.
183. John M. Rassias, M.Arunkumar, E. Sathya, Two Types of Generalized Ulam - Hyers Stability of a Additive Functional Equation Originating From N Observations of an Arithmetic Mean in Intuitionistic Fuzzy Banach Spaces, ICIFSATA – 2018 , International Journal of Current Advance Research Vol. 7, Issue 1 (2018), 1 - 9.
184. M. Arunkumar, P.Agilan, Generalized Ulam - Hyers stability of a n - dimensional additive-quadratic functional equation in Anti - Intuitionistic Fuzzy normed spaces, ICIFSATA – 2018 International Journal of Current Advance Research Vol. 7, Issue 1 (2018), 39 - 47.
185. M.Arunkumar, E. Sathya, T. Namachivayam, Ulam - Hyers Stability of Euler - Lagrange Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces: Direct and Fixed Point Methods, ICIFSATA – 2018 International Journal of Current Advance Research Vol. 7, Issue 1 (2018), 99- 108.
186. M. Arunkumar, S. Karthikeyan, S. Vijayakumar, A Fixed Point Approach to the Stability of Reciprocal Quadratic Functional Equation in Intuitionistic Fuzzy Banach Algebras, ICIFSATA – 2018, International Journal of Current Advance Research Vol. 7, Issue 1 (2018), 143 - 150.
187. M. Arunkumar, S. Karthikeyan, Lagrange’s quadratic functional equation linked to Random homomorphisms and Random derivations in Random Banach Algebras, International Journal of Pure and Applied Mathematics Volume 118 No. 6 (2018), 217-226.
188. A. Bodaghi, M. Arunkumar, E.Sathya, Approximate n-dimensional additive functional equation in various Banach Spaces, Tbilisi Mathematical Journal, 11(2) (2018), pp. 77–96.
189. M. Arunkumar, E. Sathya, Fuzzy stability of a quartic functional equation via two methods, Proceedings of National Conference on Mathematical Sciences and Its Applications (NCMSA–2018), 191–198, ISBN 978-93-86638-80-9.
190. M. Arunkumar, E. Sathya, S. Karthikeyan, Ulam - Hyers Stability Of A Additive - Quadratic Functional Equation in Quasi - - 2 - Banach Space, Proceedings of National Conference on Mathematical Sciences and Its Applications (NCMSA – 2018), 164 – 170, ISBN 978-93-86638-80-9.
191. E. Sathya, M. Arunkumar , R. Kodandan, Two types of Generalized Ulam - Hyers Stability of a Type Cauchy – Jensen Functional Equation in Intuitionistic Fuzzy Banach Spaces , Proceedings of National Conference on Mathematical Sciences and Its Applications (NCMSA – 2018), 199 – 206, ISBN 978-93-86638-80-9.
192. M. Arunkumar, N. Mahesh kumar, G. Ganapathy, Stability of an ACQ Functional Equation In Generalized 2- Normed Spaces: A Fixed point analysis, Proceedings of National Conference on Mathematical Sciences and Its Applications (NCMSA – 2018), 146 – 155, ISBN 978-93-86638-80-9.
193. M. Arunkumar, P. Narasimman, E. Sathya, Stability of Mixed Type AQ, CQ Functional Equations In Random Banach Space, Proceedings of National Conference on Mathematical Sciences and Its Applications (NCMSA – 2018), 70 – 76, ISBN 978-93-86638-80-9.
194. M. Arunkumar, S. Karthikeyan, Stability of a Quadratic-Reciprocal Functional Equation, Proceedings of National Conference on Mathematical Sciences and Its Applications (NCMSA – 2018), 88 – 92, ISBN 978-93-86638-80-9.
195. M. Arunkumar, P.Agilan, Fixed Point Approach To The Stability Of Additive - Quadratic – Cubic Functional Equation In Fuzzy Banach Spaces, Proceedings of National Conference on Mathematical Sciences and Its Applications (NCMSA – 2018), 21 – 29, ISBN 978-93-86638-80-9.
196. M. Arunkumar, J. M. Rassias, S.Karthikeyan, E. Sathya, Generalized Ulam - Hyers Stability Of (a; b; k > 0) - Cubic Functional Equation in Intuitionistic Fuzzy Normed spaces, (ICA2M2CT 2018), The Journal of Analysis, https://doi.org/10.1007/s41478-018-0083-8.
197. S. Pinelas, M. Arunkumar, P.Agilan, Generalized Ulam-Hyers Stability of n- Dimensional AQCQ Functional Equation in Fuzzy Banach Spaces in Two Different Methods, International Journal of Mathematics And its Applications, 6(3), (2018), 89 - 136.
198. M. Arunkumar, T. Namachivayam, E. Sathya, P. Sentamil, Generalized Ulam - Hyers - Rassias Stability of Additive - Quadratic Functional Equation In (;p) - Banach Space, International Journal of Mathematics And its Applications, 6(3), (2018), 315 – 323.
199. M. Arunkumar, S. Karthikeyan, Fuzzy Banach Algebra Stability Of Quadratic Reciprocal Functional Equation Via Fixed Point Approach, International Journal of Pure and Applied Mathematics, Volume 119 No. 13 2018, 31-39.
200. S. Karthikeyan, M. Arunkumar, B. Baskaran, S. Vijayakumar, Stability of n-dimensional mixed type additive and quadratic Functional equation, (ICCSPAM- 19), American International Journal of Research in Science, Technology, Engineering and Mathematics, (2019), 54 – 61.
201. M. Arunkumar, P. Agilan, A classical Approach to the Intuitionistic Fuzzy Stability of Mixed Undecic - Dodecic functional equation, International Journal of Research in Advent Technology, Vol.7, No.1, January 2019, 84-96. (Google Scholar).
202. M. Arunkumar, E. Sathya, Fuzzy Stability Of A Additive Quadratic Functional Equation, International Journal of Research & Analytical Reviews, (2019), 9 – 16. (UGC Care Journal).
203. M. Arunkumar, E. Sathya, Stability Of A Functional Equation Orginating From Sum Of First - Natural Numbers In (Beta;P) Banach Spaces, International Journal of Research & Analytical Reviews, (2019), 17 – 22. (UGC Care Journal).
204. M. Arunkumar, P. Agilan, Additive Quadratic Functional Equation And Inequality Are Stable In Banach Space, International Journal of Research & Analytical Reviews, (2019), 34 – 46. (UGC Care Journal).
205. M. Arunkumar, P. Agilan, Intuitionistic Fuzzy Stability Of Mixed Undecic- Dodecic Functional Equation: A Fixed Point Approach, International Journal of Research & Analytical Reviews, (2019), 47 – 55. (UGC Care Journal).
206. M. Arunkumar, E. Sathya, T. Namachivayam, Ulam Stability of A Alternate Additive - Quadratic Functional Equation in IFB Space, Malaya Journal of Matematik, Vol. S, No. 1, (2019), 171 – 187. (UGC Care Journal).
207. John M. Rassias, E. Sathya, M. Arunkumar, Two Methods of Generalized Ulam - Hyers stability of a quattuorvigintic Functional Equation in Various Banach Spaces, Malaya Journal of Matematik, Vol. S ,No.1, (2019), 203-216. (UGC Care Journal).
208. M. Arunkumar, P. Agilan, Mixed Q5S6, S7O8, N9D10 Functional Equations, Malaya Journal of Matematik, Vol. S, No. 1, (2019), 188 – 202. (UGC Care Journal).
209. J.M. Rassias, M. Arunkumar, E. Sathya , Non-stabilities of mixed type Euler - Lagrange k- cubic quartic functional equation in various Normed spaces, Mathematical Analysis and its Contemporary Applications, Vol 1 Issue 1, 2019, 1-43. (Scientific Indexing Services: Peer Reviewed).
210. M. Arunkumar, P.Agilan, S. Ramamoorthi, N. Maheshkumar, Generalized Ulam-Hyers Stability of a dimensional additive functional equation in two different methods, Int. J. Computer Aided Engineering and Technology, Vol. 12, No. 4, 2020. (SCOPUS)
211. Elumalai Sathya, Mohan Arunkumar, Stability of a Functional equation originating from sum of first ell natural numbers in Intuitionistic Fuzzy Banach Space and Algebras using Direct and Fixed Point Methods, Journal of Computational Mathematica, Vol. 4, Issue 1, (2020), 84-117. (Google Scholar).
212. Paulraj Gnanachandra, Mohan Arunkumar, A new notion of affine sets Mathematical Analysis and its Contemporary Applications, Volume 2, Issue 1, (2020), 35-42. (Scientific Indexing Services: Peer Reviewed)
213. M. Arunkumar, E.Sathya, C.Pooja, Single Variable Generalized Additive - Quadratic And Generalized Cubic- Quartic Functional Equations In Various Banach Spaces, International Journal of Mathematics And its Applications, 8(3) (2020), 1-42. (Scientific Indexing Services: Peer Reviewed).
214. E.Sathya, M. Arunkumar, S. Tamilarasan, Stability Behaviors of Radical Quadratic Functional Equation in Random Banach Space, Advances in Mathematics: Scientific Journal 9 (2020), no.10, 7829–7839. (SCOPUS)
215. John M. Rassias, E.Sathya, M. Arunkumar, Stabilities of Mixed Type Quintic - Sextic Functional Equations In Various Banach Spaces, Malaya Journal of Matematik, Vol. 9, No. 1, (2021), 217-243. (UGC Care Journal)
216. John Micheal Rassias, Mohan Arunkumar, Elumalai Sathya, Generalized Ulam - Hyers Stability Of An Alternate Additive - Quadratic - Quartic Functional Equation In Fuzzy Banach Spaces, Mathematical Analysis and its Contemporary Applications, Vol. 3, Issue 1, (2021), 13-31. (Scientific Indexing Services: Peer Reviewed).
217. M.Arunkumar, E. Sathya, T. Namachivayam, Generalized Ulam - Hyers stability of a generalized Lambda − Cauchy – Jensen Additive functional equation in IFBS and RBS, Annals Of Pure And Applied Mathematical Sciences, Vol. 1 (1), (2021), 60-86. http://doi.org/10.26637/aopams11/007. (Peer Reviewed).
218. M. Arunkumar, E.Sathya, C.Pooja, Stability of a functional equation originates from a corona Model with additive solution in Banach space using direct and fixed point methods, Recent Advancement of Mathematics in Science and Technology, JPS Scientific Publication India, First Edition, Book Chapter, 103-113, 2021, (ISBN): 978-81-950475-0-5. (Book Chapter).
219. M. Arunkumar, S. Tamilarasan, R. Kondandan, E. Sathya, Stability analysis of system of additive functional equations from a hotel model Via Fixed Point Method, Recent Advancement of Mathematics in Science and Technology, JPS Scientific Publication India, First Edition, Book Chapter, 25-34, 2021, (ISBN): 978-81-950475-0-5. (Book Chapter).
220. V. Nasiri, M. Arunkumar, E.Sathya, T. Namachivayam, Functional Inequalities For A Generalized Quadratic Functional Equation In Various Banach Spaces, Malaya Journal of Mathematic, Vol. 9, No. 1, 2021, 966-980. (UGC Care Journal)
221. M. Arunkumar, E. Sathya, Stability Of A Ramanujan Type Additive Functional Equation, Journal of Computational Mathematica, Vol. 5, Issue 1, (2021), 11 -27. (Google Scholar).
222. E.Sathya, M. Arunkumar, Stability of System of Inverse Multiplicative Functional Equations In FBA With Applications, Advancement In Biotechnology And Pharmaceutical Mathematics JPS Scientific Publication India, First Edition, Book Chapter, 25-34, 2021,(ISBN): 978-93-91342-36-4. (Book Chapter).
223. P. Vijayashanthi, Kirti Verma, Sonal Dixit, Sudeep Kumar Pandey, E. Sathya, M. Arunkumar, An overview on sequentially g-quotient maps, Materials Today: Proceedings, Volume 56, Part 6, 2022, Pages 3233-3236. (SCOPUS)
224. E.Sathya, M. Arunkumar, Generalized Mixed Higher Order Functional Equation in Various Banach Spaces, Malaya Journal of Mathematic, Vol 10 (04), 2022, 292-321. (Mathematical Reviews: Peer Reviewed).
225. K. Balamurugan, A.Manjula, M.Arunkumar, E.Sathya, Stability of an additive functional equation originating from a telescoping series, Rabindra Bharati Journal Of Philosophy (ISSN : 0973-0087),Vol.:XXIV, No:02, 2023, 56-65. (UGC Care Journal).
226. M. Arunkumar, E. Sathya, S. Ramamoorthi, N. Mahesh Kumar, Stability of Mixed AQ2CQ4 - Functional Equation In Fuzzy Banach Spaces, Journal of Computational Mathematica, Vol. 7, Issue 2, (2023), 059-089. (Google Scholar: Peer Reviewed).
227. T. Namachivayam , M. Elumalai, A. Sugumaran , M.Arunkumar, Formation Of Degree Sequence in Some Graphs, International Journal of Research and Analytical Reviews (IJRAR), April 2024, Volume 11, Issue 2, (2024), 259 – 271. (UGC Care Journal).
228. J.M. Rassias, E.Sathya, M. Arunkumar, T. Namachivayam, Stabilities of a additive functional equation originating from sum of Ascending and descending n natural numbers in various Banach Spaces, Journal of Emerging Technologies and Innovative Research, April 2024, Volume 11, Issue 4 (2024), 638 – 648. (UGC Care Journal).
229. E.Sathya, M. Arunkumar, T. Namachivayam, Gavruta stability of a additive-Quadratic-cubic-quartic Functional Equation in Neutrosophic space, International Journal of Research and Analytical Reviews, April 2024, Volume 11, Issue 2 (2024), 684 – 703. (UGC Care Journal).
230. M. Arunkumar, V. Alexpandiyan, M. Prabakaran, T. Velmurugan, V. Chandiran, Hyers - Gavruta Type Stability Of Generalized Composite Functional Equations In Generalized 2 - Banach Spaces, Journal of Computational Mathematica, Vol. 8, Issue 1, (2024), 01-14. https://doi.org/10.26524/cm181. (Google Scholar: Peer Reviewed)
231. M. Arunkumar, M. Prabakaran, E.Sathya, Stability Of A Generalised Difference Functional Equation, Journal of Computational Mathematica, Vol. 8, Issue 1, (2024), 42-56. https://doi.org/10.26524/cm186. (Google Scholar: Peer Reviewed)
232. M. Arunkumar, V. Alexpandiyan, E.Sathya, Stability Of 4D Alternate Additive Functional Equation, Journal of Computational Mathematica, Vol. 8, Issue 1, (2024), 57-74. https://doi.org/10.26524/cm187. (Google Scholar: Peer Reviewed)
233. M.J. Rassias, M. Arunkumar, E. Sathya, Solution And Generalized Ulam - Hyers Stability Of An N-Dimensional AQ-Functional Equation, International Journal of Mathematics And its Applications, Int. J. Math. And Appl., 12 (3) (2024), 1–16. (Scientific Indexing Services: Peer Reviewed).
234. M. Arunkumar, E. Sathya, V. Chandiran, V. Alexpandiyan, T. Velmurugan, Gavruta – Rassias stabilities of a Functional equation involving mean sum of functions of consecutive variables in various Banach spaces Journal of Emerging Technologies and Innovative Research, Nov 2024, Volume 11, Issue 11 (2024), c102 – c116. (UGC Care Journal).
235. Elumalai Sathya, Mohan Arunkumar, Cauchy Additive Functional Equation with Quality And Certainty Of The Approximation In Generalized Z-Numbers, Mathematical Analysis And Its Contemporary Applications, Volume 06, Issue 03 (2024), 21-33. doi: 10.30495/maca.2024.2031257.1103 (Scientific Indexing Services: Peer Reviewed).
236. E. Sathya, M. Arunkumar, Stability Of A Generalized Alternate 3 Dimensional Additive, Functional Equation In Various Banach Spaces, International Journal of Advanced Mathematical Sciences, Vol. 10, No 2, (2024), 24-38. (Academia. Edu, Google Scholar).
237. E. Sathya, M. Arunkumar, T. Namachivayam, Stability analysis of system of additive functional equations from a hotel model, Journal of Computational Mathematica, Vol. 08, Issue 02, (2024), 90-104. https://doi.org/10.26524/cm199. (Google Scholar: Peer Reviewed) .
238. M.Arunkumar, E. Sathya, P. Divyakumari, Homomorphisms and derivations of a generalized additive functional equation, Journal of Computational Mathematica, Vol. 08, Issue 02, (2024), 105-127. https://doi.org/10.26524/cm200. (Google Scholar: Peer Reviewed).
239. M. Arunkumar, V.Chandiran, E. Sathya, T. Velmurugan, V. Alexpandiyan, Fuzzy Stability of a Functional Equation Originating From a Telescoping Series, Journal of Computational Mathematica, Vol. 08, Issue 02, (2024), 128-141. https://doi.org/10.26524/cm201. (Google Scholar: Peer Reviewed).
240. E. Sathya, M. Arunkumar, Stability of a Composite Type Additive Functional Equation, Proceedings of the National Conference on Applications of Graph Theory and a Problem Solving Session on Permutations, (ISBN) 978-93-342-2354-5231, 231-238, (2025), (Proceedings).
241. M. Arunkumar, V.Chandiran, E. Sathya, Unraveling The Stability Of A Cubic Functional Equation Involving Consecutive Variable Mean Sums, International Journal of Engineering Development and Research, Vol. 13, Issue 01, (2025), 186-164 (Google Scholar: Peer Reviewed).
242. T. Namachivayam , M. Elumalai, M.Arunkumar, Odd Vertex Magic Labeling of Cyclic and Path Graphs, International Journal for Multidisciplinary Research, January-February 2025, Volume 07, Issue 1, (2025), 001 – 008. (Google Scholar: Peer Reviewed).
243. M. Arunkumar, E. Sathya, T. Namachivayam, V. Alexpandiyan, V. Chandiran, T. Velmurugan, Generalized Mixed Higher Order Functional Equation In Neutrosophic Space, Journal of Emerging Technologies and Innovative Research, April 2025, Volume 12, Issue 04 (2025), a67 – a80. (UGC Care Journal).
244. M.Arunkumar, V.Chandiran, E.Sathya, Rigorous Approach to the Stability of Cubic Functional Equations in Quasi-Beta Banach Space, International Journal Of Creative Research Thoughts, April 2025, Volume 13, Issue 04 (2025), a455–a463.
(UGC Care Journal).
245. M. Arunkumar, V. Alexpandiyan, N. Sheeba Florance, E. Sathya, V. Chandiran, T. Velmurugan, T. Namachivayam, S. Sangeetha, Random Banach Stability of a Additive- Quadratic Mixed Type Functional Equation, Metallurgical and Materials Engineering Vol. 31 No. 5 (2025), 253-271. (Web of Science ).https://metall-matereng.com/index.php/home/article/view/1579.
246. S. Pinelas, M. Arunkumar, E. Sathya, V. Alexpandiyan, V. Chandiran, T. Velmurugan, Stability of a Affine Type AQ Functional Equation In Various Banach Spaces, Communications on Applied Nonlinear Analysis, Vol. 32 No. 10s (2025) 2186 – 2216. (SCOPUS; UGC Care – Accepted) https://doi.org/10.52783/cana.v32.5422.
247. T. Namachivayam, P. Kasirajan, M. Arun kumar, Star – In – Coloring Of Herschel, General Theta And Corona Graphs, International Journal of Environmental Sciences, (Special Issue on Bridging Ecology, Society and Technology: Innovations for a Resilient World / Articles), Vol. 11, No. 7s (2025): 1057-1063. (Scopus Q3).
248. M. Elumalai, T. Namachivayam, M. Arun kumar, Edge-Magic Labeling Of Some Graphs, International Journal of Environmental Sciences, (Special Issue on Bridging Ecology, Society and Technology: Innovations for a Resilient World / Articles), Vol. 11, No. 7s (2025): 1104-1112. (Scopus Q3).
249. M. Arunkumar, E. Sathya, T. Velmurugan, V. Alexpandiyan, Stability of System of Functional Equations From a Corona Model, Applications of Advanced Mathematical Methods to Solve Real World Problems, IIP Iterative International Publishers, Chapter 9, 113-132, ISBN: 978-93-7020-219-1, 2025.
250. M. Arunkumar, E. Sathya, M. Prabakaran, V. Chandiran, Fuzzy Approximations of a Functional Equation Within Digital Spatial Image Encryption Schemes, Applications of Advanced Mathematical Methods to Solve Real World Problems, IIP Iterative International Publishers, Chapter 4, 43-61, ISBN: 978-93-7020-219-1, 2025.
251. T. Namachivayam, E. Sathya, M. Arunkumar, Approximations of System of Composite Type Additive Functional Equations In Banach Spaces and GZN, Panamerican Mathematical Journal, Vol 35, No. 4s, 1456-1473, 2025. (Scopus). (https://internationalpubls.com/index.php/pmj/article/view/6306/3541).
252. J.M. Rassias, K. J. Ansari, M. Arunkumar, E. Sathya, Fuzzy Stability Of A Generalized 4 Dimensional AQCQ Functional Equation, Filomat, Vol 39 (35), (2025), 12661 – 12689, (SCOPUS; UGC Care – Accepted), https://doi.org/10.2298/FIL2535661R.
253. Arunkumar Mohan, John Micheal Rassias, Sathya Elumalai, Chandiran Vadamalai, Alexpandiyan Velmurugan, Velmurugan Tamilselvan, Fixed Point Stabilities of System of Functional Equations from a Hotel Model in Various Banach Spaces, Data-Driven AI: A Multidisciplinary Approach Techniques, Applications, and Insights from Multiple Domains, 1st Edition, CRC Press, ISBN 9781041272366, PP 225-234, 2026. [Abstract book of the 2 nd international conference on Data Driven AI, held at the Assam Kaziranga University, Jorhat, Assam, India, 7 th to 9 th May, 2025, published by Unika Prakashan, ISBN: 978-93-91883-90-4.].
254. M.Arunkumar, J.M. Rassias, E. Sathya, Various Generalized Stabilities Of An Additive Functional Equation With Positive And Negative Unit Jumping Constants, AIP Conf. Proc. 3348, 020010 (2026) https://doi.org/10.1063/5.0296282 (Indexed SCOPUS, WOS).
255. M.Arunkumar, V.Chandiran, E.Sathya, Fuzzy Approximations Of The Mixed Type Functional Equation Involving Mean Sum Of Functions Of Consecutive Variables, AIP Conf. Proc. 3348, 020011 (2026) https://doi.org/10.1063/5.0296283 (Indexed SCOPUS, WOS).
256. M.Arunkumar, E. Sathya, T. Velmurugan, V. Alexpandiyan, Intuitionistic Fuzzy Stability Of A Mixed A1Q4 Functional Equation Using Famous Direct And Fixed Point Methods, AIP Conf. Proc. 3348, 020012 (2026) https://doi.org/10.1063/5.0296285 (Indexed SCOPUS, WOS).