WEAK CONVERGENCE THEOREMS FOR A COUNTABLE FAMILY OF RELATIVELY NONEXPANSIVE MAPPINGS

被引：0

作者：

Nilsrakoo, Weerayuth ^{[1
]}

Saejung, Satit ^{[2
]}

机构：

[1] Ubon Rajathanee Univ, Dept Math Stat & Comp, Ubon Ratchathani 34190, Thailand

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

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2009年 / 10卷 / 03期

关键词：

Relatively nonexpansive mapping; nonexpansive mapping; variational inequality; INEQUALITIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish weak convergence theorems for finding common fixed points of a countable family of relatively nonexpansive mappings in a uniformly smooth and uniformly convex Banach space. Weak convergence theorems for finding a common element of the set of fixed points and time set of solutions of a variational inequality problem are also obtained With an appropriate setting. the corresponding results due to Nadezhkina-Takahashi [13] are deduced

引用

页码：407 / 418

页数：12

共 50 条

[1] Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications
Su, Yongfu
Xu, Hong-kun
Zhang, Xin
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (12) : 3890 - 3906
[2] Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings
Zegeye, Habtu
Shahzad, Naseer
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (07) : 2707 - 2716
[3] Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings
Kittikorn Nakprasit
Weerayuth Nilsrakoo
Satit Saejung
[J]. Fixed Point Theory and Applications, 2008
[4] Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings
Nakprasit, Kittikorn
Nilsrakoo, Weerayuth
Saejung, Satit
[J]. FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
[5] Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings
Shehu, Yekini
[J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
[6] CONVERGENCE THEOREMS FOR TWO FAMILIES OF WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND A FAMILY OF EQUILIBRIUM PROBLEMS
Zhang, Xin
Su, Yongfu
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 25 (04): : 583 - 607
[7] Weak convergence theorem for monotone mappings and a countable family of nonexpansive mappings
Plubtieng, Somyot
Kumam, Poom
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (02) : 614 - 621
[8] Strong convergence theorems for countable families of asymptotically relatively nonexpansive mappings with applications
Chang, Shih-sen
Lee, H. W. Joseph
Chan, Chi Kin
Liu, Jing Ai
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3187 - 3198
[9] Weak convergence theorems for a countable family of Lipschitzian mappings
Nilsrakoo, Weerayuth
Saejung, Satit
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 451 - 462
[10] Strong convergence theorems for variational inequalities and relatively weak nonexpansive mappings
Ying Liu
[J]. Journal of Global Optimization, 2010, 46 : 319 - 329

← 1 2 3 4 5 →