COMMON FIXED POINTS FOR ASYMPTOTIC POINTWISE NONEXPANSIVE MAPPINGS

被引:0
作者
Panyanak, B. [1 ,2 ]
Pasom, P. [1 ]
机构
[1] Chaing Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
[2] Chaing Mai Univ, Fac Sci, Mat Sci Res Ctr, Chiang Mai 50200, Thailand
来源
FIXED POINT THEORY | 2013年 / 14卷 / 01期
关键词
Common fixed point; asymptotic pointwise nonexpansive mapping; weak convergence; strong convergence; uniformly convex Banach space; CONVERGENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A common fixed point theorem for a commuting family of asymptotic pointwise nonexpansive mappings in a uniformly convex Banach space is proved. Weak and strong convergence of an iterative sequence defined by two of such mappings are also established. Our results generalize the results of Kirk and Xu [7], Khan and Takahashi [4] and Kozlowski [8].
引用
收藏
页码:151 / 159
页数:9
相关论文
共 11 条
[1]  
Bruck R., 1993, Colloquium Mathematicum, V65, P169, DOI [10.4064/cm-65-2-169-179, DOI 10.4064/CM-65-2-169-179]
[2]   On asymptotic pointwise contractions in metric spaces [J].
Hussain, N. ;
Khamsi, M. A. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) :4423-4429
[3]   On asymptotic pointwise nonexpansive mappings in modular function spaces [J].
Khamsi, M. A. ;
Kozlowski, W. M. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 380 (02) :697-708
[4]  
Khan S. H., 2001, SCI MATH JPN, V4, P133
[5]   Asymptotic pointwise contractions [J].
Kirk, W. A. ;
Xu, Hong-Kun .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) :4706-4712
[6]  
Kirk W.A., 2004, International Conference on Fixed Point Theo. Appl, P113
[7]   Fixed points of asymptotic contractions [J].
Kirk, WA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (02) :645-650
[8]   Fixed point iteration processes for asymptotic pointwise nonexpansive mappings in Banach spaces [J].
Kozlowski, W. M. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (01) :43-52
[9]   WEAK AND STRONG-CONVERGENCE TO FIXED-POINTS OF ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS [J].
SCHU, J .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1991, 43 (01) :153-159