Md Hifzur Rahaman
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Md Hifzur Rahaman has a total of 3 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
1 shared publication - Monirul Islam
Department of Mathematics, Aligarh Muslim University, Aligarh, India
1 shared publication - Syed Shakaib Irfan
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
1 shared publication
Latest Publications
- Open Access
- 10 June 2026
- Published by Springer Nature in Scientific Reports
- Vol. 16 (1)
Advancing the Korpelevich method: a new approach to equilibrium problems on Hadamard manifolds
We devise a relaxed-inertial subgradient extragradient method for solving pseudomonotone equilibrium problems on Hadamard manifolds. The method uses a self-adaptive step size that does not depend on the Lipschitz constant. Under suitable conditions, we demonstrate that every sequence produced by the proposed algorithms converges to a solution of the equilibrium problem. We also prove linear convergence of the proposed method when the bifunction satisfies strong pseudomonotonicity and Lipschitz continuity. We then provide an application of our main result to variational inequality and optimization problems using the proposed algorithms. We conclude our paper with a numerical example to verify our convergence result.
- 10 June 2026
- Published by Springer Nature in Scientific Reports
- Vol. 16 (1)
Open AccessAdvancing the Korpelevich method: a new approach to equilibrium problems on Hadamard manifolds
We devise a relaxed-inertial subgradient extragradient method for solving pseudomonotone equilibrium problems on Hadamard manifolds. The method uses a self-adaptive step size that does not depend on the Lipschitz constant. Under suitable conditions, we demonstrate that every sequence produced by the proposed algorithms converges to a solution of the equilibrium problem. We also prove linear convergence of the proposed method when the bifunction satisfies strong pseudomonotonicity and Lipschitz continuity. We then provide an application of our main result to variational inequality and optimization problems using the proposed algorithms. We conclude our paper with a numerical example to verify our convergence result.