An Implicit Iteration for a Countable Family of Nonexpansive Mappings in Banach Spaces

被引：0

作者：

Nilsrakoo, Weerayuth ^{[2
]}

Saejung, Satit ^{[1
]}

机构：

[1] Khon Kaen Univ, Dept Math, Khon Kaen 40002, Thailand

[2] Ubon Rajathanee Univ, Dept Math Stat & Comp, Ubon Ratchathani, Thailand

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2009年 / 30卷 / 5-6期

关键词：

Implicit iteration; Nonexpansive mapping; Uniformly convex Banach space; Weak and strong convergence; COMMON FIXED-POINTS; STRONG-CONVERGENCE; FINITE FAMILY; APPROXIMATION; SEQUENCE; THEOREM;

D O I：

10.1080/01630560902987949

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an implicit sequence for an infinite family of nonexpansive mappings in a uniformly convex Banach space. We prove weak and strong convergence theorems for finding a common fixed point of the mappings. Our results not only include Plubtieng et al. (Numer. Funct. Anal. Optim. 2007; 28:737-749), Kikkawa and Takahashi (Ann. Univ. Mariae Curie-Skodowska Sect. A 2004; 58:69-78), Kimura and Takahashi (Set-Valued Anal. 2008; 16:597-619) as special cases but also are established under the weaker assumptions.

引用

页码：591 / 612

页数：22

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