A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups

被引:12
作者
Chang, Shih-sen [1 ]
Chan, Chi Kin [2 ]
Lee, H. W. Joseph [2 ]
Yang, Li [3 ]
机构
[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
[2] Univ Hong Kong, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
[3] SW Univ Sci & Technol, Dept Math, Mianyang 621002, Sichuan, Peoples R China
关键词
A system of mixed equilibrium problem; Fixed point; An infinite family of strictly pseudocontractive mappings; Nonexpansive mappings; eta-Strongly convex functions; STRONG-CONVERGENCE;
D O I
10.1016/j.amc.2009.12.060
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for an infinite family of strictly pseudo-contractive mappings and the set of common fixed points for nonexpansive semi-groups in Hilbert space. Under suitable conditions some strong convergence theorem are proved. The results presented in the paper extend and improve some recent results. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:51 / 60
页数:10
相关论文
共 13 条
[1]   Iterative schemes for solving mixed variational-like inequalities [J].
Ansari, QH ;
Yao, JC .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 108 (03) :527-541
[2]   A hybrid iterative scheme for mixed equilibrium problems and fixed point problems [J].
Ceng, Lu-Chuan ;
Yao, Jen-Chih .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (01) :186-201
[3]  
Combettes PL, 2005, J NONLINEAR CONVEX A, V6, P117
[4]   ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS [J].
HANSON, MA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) :545-550
[5]   General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space [J].
Li, Suhlong ;
Li, Lihua ;
Su, Yongfu .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) :3065-3071
[6]   Iterative algorithms for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of families and semigroups of nonexpansive mappings [J].
Saeidi, Shahram .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) :4195-4208
[7]   Strong convergence to common fixed points of families of nonexpansive mappings [J].
Shimizu, T ;
Takahashi, W .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 211 (01) :71-83
[8]   Strong convergence to common fixed points of infinite nonexpansive mappings and applications [J].
Shimoji, K ;
Takahashi, W .
TAIWANESE JOURNAL OF MATHEMATICS, 2001, 5 (02) :387-404
[10]   THE NONLINEAR ERGODIC THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS IN BANACH-SPACES [J].
TAN, KK ;
XU, HK .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 114 (02) :399-404