Work

On Bregman Asymptotically Quasi-Nonexpansive Mappings and Generalized Variational-like Systems

Year: 2025

Type: article

Abstract: In this work, we propose and study an inertial hybrid projection algorithm to approximate a common solution of a system of unrelated generalized mixed variational-like inequalities and the common fixed points of Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense. We establish a strong convergence theorem for the generated sequence and derive several corollaries. Further, we provide applications of Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense. Numerical examples are provided to demonstrate the effectiveness of the method, and we also present a comparative analysis.

Source: Mathematics

DOI: 10.3390/math13223641

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: $3,137

Funder: Princess Nourah Bint Abdulrahman University