Work

A viscosity-based iterative method for solving split generalized equilibrium and fixed point problems of strict pseudo-contractions

Year: 2025

Type: article

Abstract: In this paper, we developed a viscosity-based extragradient iterative algorithm to approximate the solution of the split generalized equilibrium problem, the variational inequality problem, and the fixed point problem for a finite family of $ \epsilon $-strict pseudo-contractive and a nonexpansive mapping in Hilbert space. The main purpose was to establish strong convergence of the proposed algorithm under suitable conditions. We presented a comprehensive computational analysis to illustrate the effectiveness of our method and compared its performance with existing approaches. Our results extend and unify several well-known results in the literature, contributing significantly to the field.

Source: AIMS Mathematics

DOI: 10.3934/math.2025401

Authors: Saud Fahad Aldosary, Mohammad Farid

Institutions: Prince Sattam Bin Abdulaziz University, 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: $1,200

Funder: Qassim University