Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point

被引：5

作者：

Kimura, Yasunori ^{[1
]}

Nakajo, Kazuhide ^{[2
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

[2] Tamagawa Univ, Fac Engn, Machida, Tokyo 1948610, Japan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

基金：

日本学术振兴会;

关键词：

BANACH-SPACES; THEOREMS; APPROXIMATION; RESOLVENTS; OPERATORS;

D O I：

10.1155/2010/732872

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive mappings and semigroups in a uniformly convex Banach space.

引用

页数：16

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