A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces

被引:61
作者
Liu, Ying [1 ]
机构
[1] Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China
关键词
Fixed point; Equilibrium problem; Strict pseudo-contraction; Bifunctions; STRONG-CONVERGENCE THEOREMS; FIXED-POINT PROBLEMS; VISCOSITY APPROXIMATION METHODS; NONEXPANSIVE-MAPPINGS;
D O I
10.1016/j.na.2009.03.060
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce two iterative schemes by the general iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a k-strictly pseudo-contractive non-self mapping in the setting of real Hilbert spaces. Our results improve and extend the corresponding results given by many others. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4852 / 4861
页数:10
相关论文
共 14 条
[1]  
Blum E., 1994, MATH STUDENT, V63, P123
[2]   CONSTRUCTION OF FIXED POINTS OF NONLINEAR MAPPINGS IN HILBERT SPACE [J].
BROWDER, FE ;
PETRYSHY.WV .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 20 (02) :197-&
[3]   An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings [J].
Ceng, L. -C. ;
Al-Homidan, S. ;
Ansari, Q. H. ;
Yao, J. -C. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (02) :967-974
[4]   Some problems and results in the study of nonlinear analysis [J].
Chang, SS .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (07) :4197-4208
[5]  
Combettes PL, 2005, J NONLINEAR CONVEX A, V6, P117
[6]   Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings [J].
Iiduka, H ;
Takahashi, W .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (03) :341-350
[7]   A general iterative method for nonexpansive mappings in Hilbert spaces [J].
Marino, G ;
Xu, HK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (01) :43-52
[8]  
Moudafi A, 1999, LECT NOTES ECON MATH, V477, P187
[9]   A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces [J].
Plubtieng, Somyot ;
Punpaeng, Rattanaporn .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) :455-469
[10]   Strong convergence theorems of modified Mann iterative process for strict pseudo-contractions in Hilbert spaces [J].
Qin, Xiaolong ;
Shang, Meijuan ;
Kang, Shin Min .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) :1257-1264