Strong Convergence Theorems for a Countable Family of Lipschitzian Mappings

被引：1

作者：

Nilsrakoo, Weerayuth ^{[1
]}

Saejung, Satit ^{[2
]}

机构：

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

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

来源：

ABSTRACT AND APPLIED ANALYSIS | 2010年

关键词：

ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; COMMON FIXED-POINTS; WEAK-CONVERGENCE;

D O I：

10.1155/2010/739561

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We modify the iterative method introduced by Kim and Xu (2006) for a countable family of Lipschitzian mappings by the hybrid method of Takahashi et al. (2008). Our results include recent ones concerning asymptotically nonexpansive mappings due to Plubtieng and Ungchittrakool (2007) and Zegeye and Shahzad (2008, 2010) as special cases.

引用

页数：17

共 50 条

[1] Convergence theorems for a countable family of Lipschitzian mappings
Nilsrakoo, Weerayuth
Saejung, Satit
APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (02) : 595 - 606
[2] Weak convergence theorems for a countable family of Lipschitzian mappings
Nilsrakoo, Weerayuth
Saejung, Satit
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 451 - 462
[3] Strong convergence theorems for a countable family of quasi-Lipschitzian mappings and its applications
Nilsrakoo, Weerayuth
Saejung, Satit
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) : 154 - 167
[4] Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
Nisrakoo, Weerayuth
Saejung, Satit
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) : 2695 - 2708
[5] On the Convergence Theorems for a Countable Family of Lipschitzian Pseudocontraction Mappings in Banach Spaces
Chang, Shih-sen
Kim, Jong Kyu
Lee, H. W. Joseph
Chan, Chi Kin
FIXED POINT THEORY AND APPLICATIONS, 2011,
[6] Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems
Liping Yang
Yongfu Su
Fixed Point Theory and Applications, 2009
[7] Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems
Yang, Liping
Su, Yongfu
FIXED POINT THEORY AND APPLICATIONS, 2009,
[8] Strong convergence theorems by the viscosity approximation method for a countable family of nonexpansive mappings
Kikkawa, Misako
Takahashi, Wataru
TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (03): : 583 - 598
[9] Strong Convergence Theorems for a Countable Family of Nonexpansive Mappings in Convex Metric Spaces
Phuengrattana, Withun
Suantai, Suthep
ABSTRACT AND APPLIED ANALYSIS, 2011,
[10] Strong convergence theorems for a Mann-type iterative scheme for a family of Lipschitzian mappings
Chidume C.E.
Chidume C.O.
Shehu Y.
Journal of Applied Mathematics and Computing, 2011, 35 (1-2) : 251 - 261

← 1 2 3 4 5 →