An Inertial scheme for approximating the solutions of pseudo-monotone equilibrium and common fixed point problems in Banach spaces

In this paper, we propose a new iterative method for approximating a common solution of pseudo-monotone equilibrium problems and common fixed point problems of Bregman quasi-nonexpansive mappings in a p-uniformly convex and uniformly smooth Banach space.Under some weaker conditions, we obtain a strong convergence result.A variational inequality problem is also considered.We present numerical examples to illustrate and support our main convergence theorem.

Publication Details

Journal
Applied Set-Valued Analysis and Optimization
Published
2025-01-01
DOI
https://doi.org/10.23952/asvao.7.2025.2.06
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

An Inertial scheme for approximating the solutions of pseudo-monotone equilibrium and common fixed point problems in Banach spaces

Applied Set-Valued Analysis and Optimization
Optimization and Variational Analysis
article

An Inertial scheme for approximating the solutions of pseudo-monotone equilibrium and common fixed point problems in Banach spaces

article en

Abstract

In this paper, we propose a new iterative method for approximating a common solution of pseudo-monotone equilibrium problems and common fixed point problems of Bregman quasi-nonexpansive mappings in a p-uniformly convex and uniformly smooth Banach space.Under some weaker conditions, we obtain a strong convergence result.A variational inequality problem is also considered.We present numerical examples to illustrate and support our main convergence theorem.

Applied Set-Valued Analysis and OptimizationVol. 7(2)
National Research Foundation
Openalex Percentile: Top 93%
Optimization and Variational Analysis
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An Inertial scheme for approximating the solutions of pseudo-monotone equilibrium and common fixed point problems in Banach spaces · Applied Set-Valued Analysis and Optimization (2025) | TGRS Research Map | TGRS