Work

On the Strong Convergence of Combined Generalized Equilibrium and Fixed Point Problems in a Banach Space

Year: 2025

Type: article

Abstract: This work develops and analyzes an iterative method to solve the combined generalized equilibrium and fixed point problems involving two relatively nonexpansive mappings. We establish that the generated sequence converges strongly to a shared solution within a two-uniformly convex and uniformly smooth real Banach space. We also highlight some immediate consequences of the main result. To confirm the algorithm’s efficiency, a numerical example is provided. Furthermore, the practical utility of the proposed algorithm is illustrated using comprehensive tables and figures.

Source: Axioms

DOI: 10.3390/axioms14060428

Authors: Ghada AlNemer, Rehan Ali, Mohammad Farid

Institutions: Princess Nourah bint Abdulrahman University, Central University of Kashmir, Qassim University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Princess Nourah Bint Abdulrahman University