Strong convergence theorems for an infinite family of nonexpansive mappings in Banach spaces

被引：33

作者：

Qin, Xiaolong ^{[1
]}

Cho, Yeol Je ^{[2
]}

Kang, Jung Im ^{[3
]}

Kang, Shin Min ^{[1
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math & RINS, Jinju 660701, South Korea

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

[3] Natl Inst Math Sci, Taejon 305340, South Korea

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 01期

关键词：

Nonexpansive mapping; Contraction; Strong convergence; Fixed point; COMMON FIXED-POINTS; APPROXIMATION METHODS; EQUILIBRIUM PROBLEMS; ITERATIVE METHOD; HILBERT-SPACE; CONTRACTIONS; PROJECTIONS; SEMIGROUPS; SEQUENCES; OPERATORS;

D O I：

10.1016/j.cam.2008.10.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In an infinite-dimensional Hilbert space, the normal Mann's iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. In order to get a strong convergence result, we modify the normal Mann's iterative process for an infinite family of nonexpansive mappings in the framework of Banach spaces. Our results improve and extend the recent results announced by many others. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：121 / 127

页数：7

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