STRONG CONVERGENCE THEOREMS FOR MAXIMAL MONOTONE OPERATORS AND GENERALIZED NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：0
|
作者：
Inthakon, W. [1 ]
Dhompongsa, S. [1 ]
Takahashi, W. [2 ,3 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung, Taiwan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2010年 / 11卷 / 01期
关键词：
Maximal monotone operator; hybrid method; generalized nonexpansive mapping; sunny generalized nonexpansive retraction; HYBRID METHODS; FIXED-POINTS; ALGORITHM;
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 paper, we prove strong convergence theorems by two hybrid methods for finding a common element of the set of zero points of a maximal monotone operator and the set of fixed points of a generalized nonexpansive mapping in a Banach space. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and for generalized nonexpansive mappings in a Banach space.
引用
收藏
页码：45 / 63
页数：19
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