AN EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF AN ASYMPTOTICALLY NONEXPANSIVE MAPPING IN CAT(0) SPACES

被引：0
|
作者：
Eskandani, Gholamreza Zamani [1 ]
Kim, Jong Kyu [2 ]
Moharami, Ruholah [1 ]
Lim, Won Hee [2 ]
机构：
[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran
[2] Kyungnam Univ, Dept Math Educ, Chang Won 51767, Gyeongnam, South Korea
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 07期
基金：
新加坡国家研究基金会;
关键词：
Hybrid extragradient method; equilibrium problem; fixed point problem; asymptotically nonexpansive mapping; CAT(0) space; optimization problem; CONVERGENCE THEOREMS; DELTA-CONVERGENCE; HADAMARD; ALGORITHMS; ITERATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, using a hybrid extragradient method, we introduce a new iterative process for approximating a common element of the set of solutions of an equilibrium problem and a fixed point problem of an asymptotically nonexpansive mapping in CAT(0) spaces. We also give a numerical example to solve an optimization problem in a CAT(0) space to support our main result.
引用
收藏
页码：1509 / 1523
页数：15
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