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.
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页码：1153 / 1174
页数：22
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