Strong Convergence Theorem for Generalized Mixed Equilibrium Problem and Bregman Totally Quasi-asymptotically Nonexpansive Mappings in Reflexive Banach Spaces

被引：0

作者：

Jantakarn, Kittisak ^{[1
]}

Kaewcharoen, Anchalee ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2023年 / 21卷 / 01期

关键词：

generalized mixed equilibrium problems; Bregman totally quasi-asymptotically nonexpan-sive mappings; reflexive Banach spaces;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a new iterative algorithm for finding common solutions of gener-alized mixed equilibrium problems and fixed point problems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces. Moreover, the strong convergence theorem under suitable control conditions is proven and the numerical result for supporting our main result is presented.

引用

页码：153 / 169

页数：17

共 50 条

[1] STRONG CONVERGENCE THEOREMS FOR BREGMAN QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND EQUILIBRIUM PROBLEM IN REFLEXIVE BANACH SPACES
Zhao, Y. H.
Chang, S. S.
Zhu, J. H.
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (04): : 1171 - 1183
[2] Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces
Chang, S. S.
Wang, L.
Wang, X. R.
Chan, C. K.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 : 38 - 48
[3] STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEM AND BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPING IN BANACH SPACES
朱胜
黄建华
[J]. Acta Mathematica Scientia(English Series), 2016, 36 (05) : 1433 - 1444
[4] STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEM AND BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPING IN BANACH SPACES
朱胜
黄建华
[J]. Acta Mathematica Scientia, 2016, (05) : 1433 - 1444
[5] STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEM AND BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPING IN BANACH SPACES
Zhu, Sheng
Huang, Jianhua
[J]. ACTA MATHEMATICA SCIENTIA, 2016, 36 (05) : 1433 - 1444
[6] STRONG CONVERGENCE THEOREMS FOR FINITE EQUILIBRIUM PROBLEMS AND BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPING IN BANACH SPACES
Haipeng He
Jianhua Huang
Sheng Zhu
[J]. Annals of Applied Mathematics, 2015, 31 (04) : 372 - 382
[7] Strong convergence of hybrid Halpern iteration for Bregman totally quasi-asymptotically nonexpansive multi-valued mappings in reflexive Banach spaces with application
Yi Li
Hongbo Liu
[J]. Fixed Point Theory and Applications, 2014
[8] Strong convergence of hybrid Halpern iteration for Bregman totally quasi-asymptotically nonexpansive multi-valued mappings in reflexive Banach spaces with application
Li, Yi
Liu, Hongbo
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[9] 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
Nguyen Trung Hieu
[J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (02): : 379 - 405
[10] Strong Convergence Theorem for Bregman Strongly Nonexpansive Mappings and Equilibrium Problems in Reflexive Banach Spaces
Zhu, Jinhua
Chang, Shih-sen
Liu, Min
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,

← 1 2 3 4 5 →