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

页码：45 / 63

页数：19

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