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
收藏
页码：255 / 270
页数：16
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