Hybrid subgradient method for pseudomonotone equilibrium problem and fixed points of relatively nonexpansive mappings in Banach spaces-Reference-Cited by-同舟云学术

Hybrid subgradient method for pseudomonotone equilibrium problem and fixed points of relatively nonexpansive mappings in Banach spaces

Published:2022 Issue:10 Volume:36 Page:3515-3525
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Harbau Murtala¹,Ali Bashir²

Affiliation:

1. Department of Science and Technology Education, Bayero University, Kano, Nigeria

2. Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Abstract

In this paper, we propose a new hybrid subgradient algorithm for finding a common point in the set of solutions of pseudomonotone equilibrium problem and the set of fixed points of relatively nonexpansive mapping in a real uniformly convex and uniformly smooth Banach spaces. Weak and strong convergence of the iterative scheme are established. Our results generalizes and improves several recent results in the literature.

Publisher

National Library of Serbia

Subject

General Mathematics

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