Publications

Papers in Peer-Reviewed Journals:

24: Prashant Patel and Rahul Shukla. Iterative Techniques for Common Solutions of Mixed Equilibrium Problem and Fixed Points of $\mu$-Demicontractive Mappings, (Accepted).

23: Prashant Patel and Rahul Shukla. Strong Convergence Algorithms for Split Common Fixed Point Problems Involving Demicontractive Mappings, (Accepted).

22: Prashant Patel and Rahul Shukla. Viscosity Approximation Methods for Split Monotone Variational Inclusion and Fixed Point Problems of a Finite Family of ξ-demimetric Mappings,  Aust. J. Math. Anal. Appl., 22 (2): Art. 1, 11, 2025.

21: Kush Karnavat, Nilansh Vadodaria, Kshma Trivedi, Prashant Patel, Optimization of Parameters of the OWC Wave Energy Converter Device Using a Machine Learning Approach, Fifth International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT), 1-7 (2025).

20: Prashant Patel and Rahul Shukla. Hierarchical Fixed point results for a countable family of strict Pseudo-contractive mappings in Hadamard Manifolds, European Journal of Pure and Applied Mathematics 18, no. 2 (2025), https://doi.org/10.29020/nybg.ejpam.v18i2.5951.

19:  Ravikumar Bandaru, Prashant Patel, Ramesh Prasad Panda, and Rahul Shukla. A Unified Characterization of Congruence Co-Kernels in Paradistributive Latticoids, International Journal of Mathematics and Computer Science, Volume 20, Issue no. 2, (2025), 671–678 DOI: https://doi.org/10.69793/ijmcs/02.2025/shukla.   

18: Prashant Patel and Rahul Shukla. Common solution for a finite family of equilibrium problems, finite family of inclusion problems and fixed points of a nonexpansive mapping in Hadamard manifolds, Boletim da Sociedade Paranaense de Matemática 43 (2025), 1-12, https://doi.org/10.5269/bspm.67109. 

17: Prashant Patel. Common solution for fixed points of a finite family of nonexpansive mappings and variational inclusion problem, Palestine Journal of Mathematics, 13(4):337-345.

16: Prashant Patel and Rahul Shukla. Viscosity approximation for Split Equality Generalized Mixed Equilibrium Problems with Semigroups of Nonexpansive Mappings, Abstract and Applied Analysis, 2024, 2812752, 13 pages, 2024. https://doi.org/10.1155/aaa/2812752.

15: Prashant Patel and Rahul Shukla. Solving fixed point problems and variational inclusion using Viscosity approximations, Aust. J. Math. Anal. Appl., 21(2): Art. 8, 13, 2024.

14: Prashant Patel and Rahul Shukla. Viscosity Approximation Methods for Generalized Modification of the System of Equilibrium Problem and Fixed Point Problems of an Infinite Family of Nonexpansive  Mappings, Mathematics and Statistics, Vol.12, No.4, pp. 339-347, 2024. DOI: 10.13189/ms.2024.120405, 10.13189/ms.2024.120405.

13: Rajendra Pant and Prashant Patel. Approximating zeros of monotone operators in Banach spaces, Adv. Fixed Point Theory, 14 (2024), Article ID 17.

12: Ravikumar Bandaru, Prashant Patel, Noorbhasha Rafi, Rahul Shukla, and Suryavardhani Ajjarapu. "Normal Paradistributive Latticoids." European Journal of Pure and Applied Mathematics 17, no. 2 (2024): 1306-1320. 

11: Noorbhasha Rafi, Ravikumar Bandaru, Prashant Patel, Rahul Shukla Consistent Ideals of Pseudo-Complemented Lattices, Asia Pacific Journal of Mathematics, (2024), 10.28924/APJM/11-47.

10: Prashant Patel and Rahul Shukla. Mann-Dotson’s algorithm for a countable family of non-self strict Pseudo-contractive mappings, Rendiconti del Circolo Matematico di Palermo Series 2,  2023, Series 2, https://doi.org/10.1007/s12215-023-00912-5.

9: Prashant Patel and Rahul Shukla. Common solution for a finite family of equilibrium problems, inclusion problems and fixed points of a finite family of nonexpansive mappings in Hadamard manifolds, Sahand Communications in Mathematical Analysis, 2023, https://doi.org/10.22130/scma.2023.1988788.1245 .

8: Prashant Patel and Rahul Shukla. Mann-Dotson’s algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space, Topological Algebra and it's Applications,  11(1), (2023),20220134, https://doi.org/10.1515/taa-2022-0134.

7: Prashant Patel and Rajendra Pant. Stability of Fixed Points for Quasi-Contraction Mappings with Applications. Fixed Point Theory, Indian Journal of Mathematics, 65(1),(2023), 17-36.

6: Prashant Patel and Rajendra Pant. Viscosity approximation methods for quasi nonexpansive mappings in Banach spaces, FILOMAT 35(9), (2021), 3113–3126, https://doi.org/10.2298/FIL2109113P.

5: Rajendra Pant, Prashant Patel and Rahul Shukla. Fixed point results for a class of nonexpansive type mappings in Banach spaces. Advances in the Theory of Nonlinear Analysis and its Application 5(3), (2021), 368-381, https://doi.org/10.31197/atnaa.878951.

4: Rajendra Pant, Prashant Patel, Rahul Shukla and Manuel De la Sen. Fixed Point Theorems for Nonexpansive Type Mappings in Banach Spaces. Symmetry, 13(4), (2021), 585, https://doi.org/10.3390/sym13040585.

3: Rajendra Pant, Rahul Shukla, Prashant Patel. “Nonexpansive Mappings, Their Extensions and Generalizations in Banach Spaces”, book: Metric Fixed Point Theory in Science, Engineering and Behavioral Sciences, Springer, 2021.

2: Prashant Patel, Prashant Kumar and Rajini. The numerical solution of Boussinesq equation for shallow water waves. AIP Conference Proceedings 2214, 020019 (2020) https://doi.org/10.1063/5.0003339.

1: Gulshan, Prashant Kumar, Prashant Patel, Rupali and Sukhvinder Kaur. Wave spectrum analysis for extreme wave oscillation inside Paradip port. AIP Conference Proceedings 2061, 020010 (2019) https://doi.org/10.1063/1.5086632.

Submitted Articles:

1: Prashant Patel, Rahul Shukla, Rajendra Pant, and Vladimir Rakocevic. A new algorithm to obtain strong convergence results for generalized nonexpansive type mappings in Banach spaces with Applications, (Submitted).

2: Prashant Patel and Rahul Shukla. Fixed Point Theory for Bregman (E) Mappings in Reflexive Banach Spaces, (Submitted).

3: Prashant Patel and Rahul Shukla. Fixed point results for a countable family of non-self strict Pseudo-contractive mappings in CAT(0) space, (Submitted).

4: Dipesh Kumar and Prashant Patel. Split Common Fixed Point Problem for Finite Family of Quasi Nonexpansive mappings, (Submitted).

5: Dipesh Kumar and Prashant Patel. Fixed Point Theory for a Family of Mappings Satisfying Condition (E),  (Submitted).

6: Prashant Patel and Rahul Shukla. Strong Convergence of an Inertial Iterative Method for Generalized Nonexpansive Mappings in Banach Spaces,  (Submitted).