Strong Convergence Theorem Obtained by a Generalized Projections Method for Solving an Equilibrium Problem and Fixed Point Problems

被引：1

作者：

Ghadampour, Mostafa ^{[1
]}

Soori, Ebrahim ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

[2] Lorestan Univ, Dept Math, Khorramabad, Lorestan, Iran

[3] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA

[4] Univ Galway, Sch Math & Stat Sci, Galway, Ireland

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 11期

关键词：

Asymptotical fixed point; Bregman nonexpansive mapping; fixed point problem; Frechet differentiable; variational inequality; PROXIMAL POINT; ALGORITHMS; CONVEXITY;

D O I：

10.1080/01630563.2023.2234018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a new projection-type algorithm in a reflexive Banach space. Then, using generalized resolvents operators and generalized projections, we prove a strong convergence theorem for computing a common element of the set of fixed points of a Bregman relatively nonexpansive mapping, solutions of an equilibrium problem, fixed points of a resolvent operator and fixed points of an infinite family of Bregman W-mappings.

引用

页码：1153 / 1174

页数：22

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