Strong convergence theorems by hybrid methods for nonexpansive mappings with equilibrium problems in Banach spaces

被引：1
作者：
Takahashi, Wataru [1 ,2 ]
Yao, Jen-Chih [2 ]
机构：
[1] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo, Japan
[2] Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 80424, Taiwan
来源：
ADVANCES IN MATHEMATICAL ECONOMICS, VOL 14 | 2011年 / 14卷
基金：
日本学术振兴会;
关键词：
Nonexpansive mapping; fixed point; hybrid method; Mosco convergence; equilibrium problem; projection; MAXIMAL MONOTONE-OPERATORS; FIXED-POINT THEOREMS; NONLINEAR MAPPINGS; WEAK; APPROXIMATION; RESOLVENTS; FAMILY;
D O I：
10.1007/978-4-431-53883-7_9
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
Our purpose in this paper is to prove strong convergence theorems by hybrid methods for nonexpansive mappings in a Banach space under appropriate conditions. We first prove a strong convergence theorem by the shrinking projection method for semi-positively homogeneous nonexpansive mappings with an equilibrium problem in a Banach space. Next, we obtain another strong convergence theorem by the monotone hybrid method for semi-positively homogeneous nonexpansive mappings with an equilibrium problem in a Banach space. These theorems are proved by using the concept of set convergence.
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页码：197 / +
页数：5
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