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

页码：255 / 270

页数：16

共 50 条

[41] Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions
Cholamjiak, Prasit
Suantai, Suthep
FIXED POINT THEORY AND APPLICATIONS, 2011,
[42] Strong convergence for asymptotically pseudocontractions with the demiclosedness principle in Banach spaces
Wang, Yuan-Heng
Xia, Yong-Hui
FIXED POINT THEORY AND APPLICATIONS, 2012,
[43] Strong convergence for asymptotical pseudocontractions with the demiclosedness principle in banach spaces
Yuan-Heng Wang
Yong-Hui Xia
Fixed Point Theory and Applications, 2012
[44] Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces
Takahashi, Wataru
Yao, Jen-Chih
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2012, 11 (02) : 333 - 353
[45] Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions
Prasit Cholamjiak
Suthep Suantai
Fixed Point Theory and Applications, 2011
[46] Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces
Wataru Takahashi
Jen-Chih Yao
Journal of Fixed Point Theory and Applications, 2012, 11 : 333 - 353
[47] Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
Marino, Giuseppe
Xu, Hong-Kun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 336 - 346
[48] Weak and Strong Convergence to Common Fixed Points of a Countable Family of Multi-valued Mappings in Banach Spaces
Cholamjiak, Prasit
Cholamjiak, Watcharaporn
Cho, Yeol Je
Suantai, Suthep
THAI JOURNAL OF MATHEMATICS, 2011, 9 (03): : 505 - 520
[49] Weak and strong convergence theorems for a finite family of non-Lipschitzian nonself mappings in Banach spaces
Qianglian Huang
Lanping Zhu
Fixed Point Theory and Applications, 2013
[50] Weak and strong convergence theorems for a finite family of non-Lipschitzian nonself mappings in Banach spaces
Huang, Qianglian
Zhu, Lanping
FIXED POINT THEORY AND APPLICATIONS, 2013,

← 1 2 3 4 5 →