Publications
1. D. Sharma*, S.K. Parhi: On the local convergence of higher order methods in Banach spaces, Fixed Point Theory, 22 (2), 855-870 (2021), ISSN: 1583-5022. DOI: https://doi.org/10.24193/fpt-ro.2021.2.55
2. I. K. Argyros, D. Sharma*, C.I. Argyros, S.K. Parhi, S.K. Sunanda: Extended iterative schemes based on decomposition for nonlinear models, Journal of Applied Mathematics and Computing, 68 (3), 1485-1504 (2022), ISSN:1598-5865. DOI: https://doi.org/10.1007/s12190-021-01570-5
3. I. K. Argyros, D. Sharma*, C.I. Argyros, S.K. Parhi, S.K. Sunanda: Extending the applicability and convergence domain of a higher-order iterative algorithm under omega condition, Rendiconti del Circolo Matematico di Palermo Series 2, 71 (1) , 469-482 (2022), ISSN: 0009-725X. DOI: https://doi.org/10.1007/s12215-021-00624-8
4. I. K. Argyros, D. Sharma*, S.K. Parhi, S.K. Sunanda: A study on the local convergence and complex dynamics of Kou’s family of iterative methods, SeMA Journal, 79 (2), 365-381 (2022), ISSN: 2254-3902. DOI: https://doi.org/10.1007/s40324-021-00257-y
5. D. Sharma*, S.K. Parhi, Extending the applicability of a fourth-order method under Lipschitz continuous derivative in Banach spaces, TWMS Journal of Applied and Engineering Mathematics, 12 (1), 314-328 (2022), ISSN: 2146-1147, LINK: https://jaem.isikun.edu.tr/web/images/articles/vol.12.no.1/28.pdf
6. I. K. Argyros, D. Sharma*, C.I. Argyros, S.K. Parhi, S.K. Sunanda: Extended convergence ball for an efficient eighth order method using only the first derivative, SeMA Journal, Early Access: 23 February 2022, ISSN: 2254-3902. DOI: https://doi.org/10.1007/s40324-022-00287-0
7. D. Sharma, I.K. Argyros, S.K. Parhi, S.K. Sunanda: Local convergence and dynamical analysis of a class of third and fourth order class of equation solvers, Fractal and Fractional, 5 (2), Article Number: 27 (2021), ISSN: 2504-3110. DOI: https://doi.org/10.3390/fractalfract5020027
8. I.K. Argyros, D. Sharma, C.I. Argyros, S.K. Parhi, S.K. Sunanda: A family of fifth and sixth convergence order methods for nonlinear models, Symmetry, 13 (4), Article Number: 715 (2021), ISSN: 2073-8994. DOI: https://doi.org/10.3390/sym13040715
9. D. Sharma*, S.K. Parhi: On the local convergence of a third-order iterative scheme in Banach spaces, Rendiconti del Circolo Matematico di Palermo, 70 (1), 311-325 (2021), ISSN: 0009-725X. DOI: https://doi.org/10.1007/s12215-020-00500-x
10. D. Sharma*, S.K. Parhi, S.K. Sunanda : Extending the convergence domain of deformed Halley method under condition, Banach spaces, Boletin de la Sociedad Matemática Mexicana, 27 (2), Article Number: 32 (2021), ISSN: 1405-213X. DOI: https://doi.org/10.1007/s40590-021-00318-2
11. I. K. Argyros, D. Sharma*, C.I. Argyros, S.K. Parhi, S.K. Sunanda, Michael I. Argyros: Extended high order algorithms for equations under the same set of conditions, Algorithms, 14 (7), Article Number: 207 (2021), ISSN: 1999-4893. DOI: https://doi.org/10.3390/a14070207
12. D. Sharma*, S.K. Parhi, S.K. Sunanda: Convergence of Traub’s iteration under omega continuity condition in Banach spaces, Russian Mathematics, 65 (9), 52-68 (2021), ISSN:1066-369X. DOI: https://doi.org/10.3103/S1066369X21090073
13. I. K. Argyros, D. Sharma*, C.I. Argyros, S.K. Parhi, S.K. Sunanda: On the convergence of harmonic mean Newton method under continuity condition in Banach spaces, International Journal of Applied and Computational Mathematics, 7 (6), Article Number: 219 (2021), ISSN: 2349-5103. DOI: https://doi.org/10.1007/s40819-021-01159-3
14. D. Sharma*, S.K. Parhi: Extending the applicability of modified Weerakoon-Fernando method under omega continuity condition in Banach spaces, Indian Journal of Mathematics, 63 (1), 79-94 (2021), ISSN: 0019-5324. LINK: http://www.amsallahabad.org/pdf/ijm631.pdf
15. I. K. Argyros, D. Sharma*, C.I. Argyros, S.K. Parhi, S.K. Sunanda, M.I. Argyros: Extended ball convergence for a seventh order derivative free class of algorithms for nonlinear equations, Matematychni Studii, 56 (1), 72-82 (2021), ISSN: 2411-0620. DOI: https://doi.org/10.30970/ms.56.1.72-82
16. D. Sharma*, S.K. Parhi: On the local convergence of Weerakoon’s method under Hölder continuity condition in Banach spaces, TWMS Journal of Applied and Engineering Mathematics, 11 (3), 709-716 (2021), ISSN: 2146-1147. LINK: https://jaem.isikun.edu.tr/web/images/articles/vol.11.no.3/08.pdf
17. D. Sharma*, S.K. Parhi: Local convergence of two Newton-like methods under Hölder continuity condition in Banach spaces, International Journal of Mathematics in Operational Research, 19 (4), 500-514 (2021), ISSN: 1757-5869. DOI: https://doi.org/10.1504/IJMOR.2021.117630
18. D. Sharma*, S.K. Parhi, S.K. Sunanda: An improved local analysis of deformed Halley method in Banach spaces, Poincare Journal of Analysis & Applications, 7 (2), 227-238 (2020), ISSN: 2349-6789. DOI: https://doi.org/10.46753/pjaa.2020.v07i02.007
19. I. K. Argyros, D. Sharma*, S.K. Parhi, S.K. Sunanda : On the convergence, dynamics and applications of a new class of nonlinear system solvers, International Journal of Applied and Computational Mathematics, 6 (5), Article Number: 142 (2020), ISSN: 2349-5103. DOI: https://doi.org/10.1007/s40819-020-00893-4
20. I. K. Argyros, D. Sharma*, S.K. Parhi: On the local convergence of Weerakoon-Fernando method with omega continuity condition in Banach spaces, SeMA Journal, 77 (3), 291-304 (2020), ISSN: 2254-3902. DOI: https://doi.org/10.1007/s40324-020-00217-y
21. D. Sharma*, S.K. Parhi: Complex dynamics of a sixth and seventh order family of root finding methods, SeMA Journal, 77 (3), 339-349 (2020), ISSN: 2254-3902. DOI: https://doi.org/10.1007/s40324-020-00223-0
22. D. Sharma*, S.K. Parhi: On the local convergence of modified Weerakoon’s method in Banach spaces, The Journal of Analysis, 28 (3), 867-877 (2020), ISSN: 2367-2501. DOI: https://doi.org/10.1007/s41478-019-00216-x
23. D. Sharma*, S.K. Parhi: Local convergence and complex dynamics of a uni-parametric family of iterative schemes, International Journal of Applied and Computational Mathematics, 6 (3), Article Number: 83 (2020), ISSN: 2349-5103. DOI: https://doi.org/10.1007/s40819-020-00841-2
24. D. Sharma*, S.K. Parhi: Extending the applicability of a Newton-Simpson-like method, International Journal of Applied and Computational Mathematics, 6 (3), Article Number: 79 (2020), ISSN: 2349-5103. DOI: https://doi.org/10.1007/s40819-020-00832-3
