A Reich-type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces

被引：4

作者：

Khan, Safeer Hussain ^{[1
]}

Suzuki, Tomonari ^{[2
]}

机构：

[1] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar

[2] Kyushu Inst Technol, Dept Basic Sci, Kitakyushu, Fukuoka 8048550, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 80卷

基金：

日本学术振兴会;

关键词：

Fixed point; Generalized nonexpansive mapping; Kadec-Klee property; FIXED-POINT THEOREMS; WEAK-CONVERGENCE; SUCCESSIVE APPROXIMATIONS; SEMIGROUPS;

D O I：

10.1016/j.na.2012.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a weak convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces whose dual has the Kadec-Klee property. This theorem is connected with a famous convergence theorem for nonexpansive mappings proved by Reich in 1979. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：211 / 215

页数：5

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