APPROXIMATING COMMON ELEMENTS OF FIXED POINTS OF BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SOLUTIONS OF A SYSTEM OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS IN REFLEXIVE BANACH SPACES

被引：0

作者：

Nguyen Trung Hieu ^{[1
]}

机构：

[1] Dong Thap Univ, Fac Math Informat Teacher Educ, Cao Lanh City, Dong Thap, Vietnam

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2023年 / 38卷 / 02期

关键词：

Bregman totally quasi-asymptotically nonexpansive mapping; hybrid iterative method; generalized mixed equilibrium problem; reflexive Banach space; STRONG-CONVERGENCE THEOREMS; FINITE FAMILY; ALGORITHM; OPERATORS; CONVEXITY;

D O I：

10.22190/FUMI220603026H

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a hybrid iterative method for approximating common elements of common fixed points of a finite family of Bregman totally quasi-asymptotically nonexpansive mappings and solutions of a finite system of generalized mixed equilibrium problems. After that, a strong convergence result for the proposed iterative method is established and proved in reflexive Banach spaces. By this result, we get some convergence results for generalized mixed equilibrium problems in reflexive Banach spaces. Furthermore, we give a numerical example to illustrate the obtained results.

引用

页码：379 / 405

页数：27

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