Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces

被引：3

作者：

Cholamjiak, Prasit ^{[1
]}

Suantai, Suthep ^{[1
,2
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

[2] Chiang Mai Univ, Fac Sci, Mat Sci Res Ctr, Chiang Mai 50200, Thailand

来源：

OPTIMIZATION | 2013年 / 62卷 / 02期

关键词：

common fixed points; convergence theorem; Mann iteration; strict pseudocontractions; uniformly smooth Banach spaces; COMMON FIXED-POINTS; PSEUDO-CONTRACTIONS; NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHMS; FINITE FAMILY; CONSTRUCTION;

D O I：

10.1080/02331934.2011.598523

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We first investigate the weak convergence of the Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly smooth Banach space which is uniformly convex or satisfies Opial's condition. Then the strong convergence theorems of the modified Mann-type iterative scheme are also proved in a uniformly smooth Banach space. As a consequence, several weak and strong convergence theorems for an infinite family of pseudocontractions are established.

引用

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页码：255 / 270

页数：16

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