This Strong and weak convergence theorems for split equilibrium problems and fixed point problems in Banach spaces

被引：3

作者：

Guo, Baohua ^{[1
]}

Ping, Ping ^{[1
]}

Zhao, Haiqing ^{[1
]}

Cho, Yeol Je ^{[2
,3
,4
]}

机构：

[1] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China

[2] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[4] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 06期

关键词：

Split equilibrium problem; equilibrium problem; fixed point; Banach space; NONEXPANSIVE-MAPPINGS; ITERATIVE METHOD; APPROXIMATION METHODS; EXTRAGRADIENT METHOD; FEASIBILITY; VISCOSITY; INEQUALITIES; PROJECTION; SETS;

D O I：

10.22436/jnsa.010.06.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give some strong and weak convergence algorithms to find a common element of the solution set of a split equilibrium problem and the fixed point set of a relatively nonexpansive mapping in Banach spaces. Our algorithms only involve the operator A itself and do not need any conditions of the adjoint operator A* of A and the norm || A || of A which are different from the other results in the literature. By applying our main results, we show the existence of a solution of a split feasibility problem in Banach spaces. Finally, we give an example to illustrate the main results of this paper. (C) 2017 All rights reserved.

引用

页码：2886 / 2901

页数：16

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