Weak and Strong Convergence Theorems for Four Nonexpansive Mappings in Uniformly Convex Banach Spaces

被引：0

作者：

Saluja, Gurucharan Singh ^{[1
]}

机构：

[1] Govt Nagarjuna PG Coll Sci, Dept Math & Informat Technol, Raipur 492010, Chhattisgarh, India

来源：

THAI JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 02期

关键词：

Nonexpansive mapping; Common fixed point; Condition (GA); Opial's condition; Three-step iterative algorithm with errors; Strong convergence; Uniformly convex Banach space; Weak convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study three-step iterative algorithm with errors for four nonexpansive mappings in uniformly convex Banach spaces. Also we have proved strong convergence theorem for above said algorithm and mappings by using condition (GA) which is a generalization of condition (A) [1] and a weak convergence theorem by using Opial's condition [2]. The results presented in this paper improve and extend the corresponding results of Khan and Fukhar-ud-din [3], Takahashi and Tamura [4], Boonchari and Saejung [5] and many others.

引用

页码：305 / 319

页数：15

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