Convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in Banach spaces

被引：69

作者：

Zhou, YY

Chang, SS

机构：

[1] Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China

[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

[3] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2002年 / 23卷 / 7-8期

关键词：

asymptotically nonexpansive mapping; nonexpansive mapping; implicit iterative sequence of a finite family; common fixed point; opial condition; demi-closed principle;

D O I：

10.1081/NFA-120016276

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the weak and strong convergence of implicit iteration process to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of Refs. [1,5-7, 10,11].

引用

页码：911 / 921

页数：11

共 11 条

[1] The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space [J].