Mohd Aftab Alam
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Mohd Aftab Alam has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Iqbal Ahmad
Department of Mechanical Engineering, College of Engineering, Qassim University, Buraydah 52571, Saudi Arabia
2 shared publications - Syed Shakaib Irfan
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2 shared publications
Latest Publications
- Open Access
- 1 January 2026
- Published by Wiley in Journal of Mathematics
- Vol. 2026 (1)
A Dynamical Systems Approach to Generalized Cayley Inclusion Problem and Convergence Rate Comparison of Iterative Algorithms
This paper studies a generalized Cayley inclusion problem governed by a ‐co‐monotone mapping in a real Hilbert space. We show that the proposed inclusion problem can be equivalently reformulated as a fixed‐point problem. Exploiting this equivalence, an inertial extrapolation algorithm is developed to compute solutions of the generalized Cayley inclusion problem. Several related iterative algorithms are also introduced as special cases within the proposed framework. Under suitable assumptions on the underlying mappings, strong convergence results for the sequences generated by these algorithms are established. Furthermore, we investigate the associated resolvent‐based dynamical system and prove that its trajectory converges globally and exponentially to the unique solution of the inclusion problem. Numerical results are provided to demonstrate the effectiveness of the proposed methods, and a comparative analysis of convergence rates and computational efficiency is carried out using convergence plots and detailed computational tables.
- 1 January 2026
- Published by Wiley in Journal of Mathematics
- Vol. 2026 (1)
Open AccessA Dynamical Systems Approach to Generalized Cayley Inclusion Problem and Convergence Rate Comparison of Iterative Algorithms
This paper studies a generalized Cayley inclusion problem governed by a ‐co‐monotone mapping in a real Hilbert space. We show that the proposed inclusion problem can be equivalently reformulated as a fixed‐point problem. Exploiting this equivalence, an inertial extrapolation algorithm is developed to compute solutions of the generalized Cayley inclusion problem. Several related iterative algorithms are also introduced as special cases within the proposed framework. Under suitable assumptions on the underlying mappings, strong convergence results for the sequences generated by these algorithms are established. Furthermore, we investigate the associated resolvent‐based dynamical system and prove that its trajectory converges globally and exponentially to the unique solution of the inclusion problem. Numerical results are provided to demonstrate the effectiveness of the proposed methods, and a comparative analysis of convergence rates and computational efficiency is carried out using convergence plots and detailed computational tables.
- Open Access
- 20 November 2025
- Published by MDPI AG in Mathematics
- Vol. 13 (22) , 3725
Convergence Properties and Numerical Illustration of a Resolvent-Based Inertial Extrapolation Method for Variational Inclusions in Banach Space
This paper examines -accretive mappings in Banach spaces and proves that the resolvent operator related to these mappings is Lipschitz continuous. Using the resolvent operator technique, we formulate iterative algorithms to solve a class of variational inclusions in Banach spaces. We also concentrate on examining the convergence of the problem by employing the inertial extrapolation scheme and proving the convergence of the iterative scheme produced by the algorithm. The theoretical analysis is corroborated with a numerical result, which highlights the effectiveness and practical relevance of the proposed approaches.- 20 November 2025
- Published by MDPI AG in Mathematics
- Vol. 13 (22) , 3725
Open AccessConvergence Properties and Numerical Illustration of a Resolvent-Based Inertial Extrapolation Method for Variational Inclusions in Banach Space
This paper examines -accretive mappings in Banach spaces and proves that the resolvent operator related to these mappings is Lipschitz continuous. Using the resolvent operator technique, we formulate iterative algorithms to solve a class of variational inclusions in Banach spaces. We also concentrate on examining the convergence of the problem by employing the inertial extrapolation scheme and proving the convergence of the iterative scheme produced by the algorithm. The theoretical analysis is corroborated with a numerical result, which highlights the effectiveness and practical relevance of the proposed approaches.