Research Interest

RESEARCH INTERESTS

1. • Nonlinear Analysis (Development of fixed point theorems and its applications to other fields)

   • Approximation Theory

   • Convex Analysis and Its Applications

   • Mathematical Modeling

   • Number Theory and Cryptography

   • History of Mathematics and Mathematics Education

REVIEW WORK:

• Mathematical Reviews of American Mathematical Society (MathSciNet).

• Zentralblatt MATH (zbMATH) of European Mathematical Society.

EDITORIAL WORK:

• Associate Editor in the section Mathematics of Computation and Data Science of Frontiers in Applied Mathematics and Statistics, since 2021.

• Editorial Board member in the section Physical Sciences and Engineering of BMC Research Notes, Springer Nature, since 2020.

• Editorial Board member in the section Mathematical Analysis of Journal of Mathematics, Hindawi, U.S.A, since 2017.

• Editorial Board member in the section Mathematical Analysis of International Journal of  Mathematics & Mathematical Sciences, Hindawi, U.S.A, since 2017.

• Editorial Board member of Bulletin of Mathematics and Statistical Research, KY Publications, India, since 2013.

Special Issues Editorial Work:

• Editorial Board member of Special Issue “Function Space Optimization, Iterative Algorithms, and their Applications-2022” Mathematical Problems in Engineering, Hindawi, U.S.A.

• Editorial Board member of Special Issue “Research Trends and Challenges in the Theory of Nonlinear Analysis and its Applications-2022” Mathematics, MDPI. 

• Editorial Board member of Special Issue “Approximation Theory: Recent Advances and Applications-2023” Contemporary Mathematics, Wiser Publisher.

Research Projects:

• Completed a SEED grant project entitled “Some Fixed Point Problems in Abstract Spaces with Applications” of amount Rs. 2,40,000/- as Principal investigator, in Thapar Institute of Engineering & Technology, Patiala, India during 2017- 2019.

• Completed AISTDF/DST grant project entitled “Iterative Algorithms and Stability of Functional Equations in Quasi-Banach Spaces” of amount Rs. 35,65,696/- as Principal investigator in Thapar Institute of Engineering & Technology, Patiala, India. 

• Ongoing NBHM grant project entitled “Some Best Approximation Problems in Abstract Spaces” of amount Rs. 16,14,900/- as Principal investigator in Thapar Institute of Engineering & Technology, Patiala, India. 

Project/Thesis/Dissertation Guided:

a.      Ph.D. 

• Ravinder Kumar Sharma, Title of Thesis, “Stability of Some Functional Equations using Fixed Point Approach”, Thapar Institute of Engineering & Technology, Patiala, Punjab, India (2023).

• Harish Kumar, Title of Thesis “Some Theoretical Investigations on Nonlinear Propagation of Laser/Electromagnetic Beam in Plasma”, I.K. Gujral Punjab Technical University, 2020, jointly with Dr. M. Aggarwal.

• Deepak Kumar, Title of Thesis, "Some Fixed Point Problems and their Applications in Abstract Spaces", I.K. Gujral Punjab Technical University, 2019.

b.      Master Level

• Diksha, M.Sc. dissertation "Various Forms of Caristi's Theorem", Thapar Institute of Engineering & Technology 2021.

• Anshul Rana, M.Sc. dissertation "On Stability of Functional Equations in Complex 2-Banach Spaces", Thapar Institute of Engineering & Technology 2020.

• Medha, M.Sc. dissertation "Construction of Iterated Function System using Contraction Mapping Principle", Thapar Institute of Engineering & Technology 2019.

• Monika Singla, M.Sc. dissertation “Best Approximation and Best Co-approximation in Metric Linear Space and Normed Linear Space”, Thapar Institute of Engineering & Technology 2017.