A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings

被引：5

作者：

Wang, Shenghua ^{[3
]}

Cho, Yeol Je ^{[1
,2
]}

Qin, Xiaolong ^{[4
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] N China Elect Power Univ, Sch Math & Phys, Baoding 071003, Peoples R China

[4] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

STEEPEST-DESCENT METHODS; APPROXIMATION METHODS; CONVERGENCE THEOREMS;

D O I：

10.1155/2010/165098

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a Hilbert space. As an application, we solve a multiobjective optimization problem using the result of this paper.

引用

页数：18

共 20 条

[1] [Anonymous], 1980, Pure and Applied Mathematics
[2] Blum E., 1994, Math. Stud., V63, P127
[3] Implicit Iteration Scheme with Perturbed Mapping for Equilibrium Problems and Fixed Point Problems of Finitely Many Nonexpansive Mappings
Ceng, L. C.
Schaible, S.
Yao, J. C.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 139 (02) : 403 - 418
[4] Iterative Approaches to Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings
Ceng, L. C.
Petrusel, A.
Yao, J. C.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 143 (01) : 37 - 58
[5] A hybrid steepest-descent method for variational inequalities in Hilbert spaces
Ceng, Lu-Chuan
Xu, Hong-Kun
Yao, Jen-Chih
[J]. APPLICABLE ANALYSIS, 2008, 87 (05) : 575 - 589
[6] Chang SS, 2008, DYNAM SYST APPL, V17, P503
[7] A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
Chang, Shih-sen
Lee, H. W. Joseph
Chan, Chi Kin
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3307 - 3319
[8] Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems
Cho, Yeol Je
Qin, Xiaolong
Kang, Jung Im
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 4203 - 4214
[9] An iterative method for finding common solutions of equilibrium and fixed point problems
Colao, Vittorio
Marino, Giuseppe
Xu, Hong-Kun
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) : 340 - 352
[10] Combettes PL, 2005, J NONLINEAR CONVEX A, V6, P117

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