Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces

被引：7
|
作者：
Takahashi, Wataru [1 ]
Yao, Jen-Chih [2 ]
机构：
[1] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan
[2] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 80702, Taiwan
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2012年 / 11卷 / 02期
基金：
日本学术振兴会;
关键词：
Nonexpansive mapping; nonspreading mappings; fixed point; hybrid method; strong convergence theorem; duality theorem; FIXED-POINT THEOREMS; GENERALIZED NONEXPANSIVE-MAPPINGS; MAXIMAL MONOTONE-OPERATORS; PROXIMAL-TYPE ALGORITHM;
D O I：
10.1007/s11784-012-0075-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our purpose in this paper is first to obtain some results for fixed points and asymptotically fixed points of nonlinear operators in a Banach space. Using these results, we prove strong convergence theorems by hybrid methods for countable families of nonlinear operators with equilibrium problems in a Banach space.
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页码：333 / 353
页数：21
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