Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems

被引：101

作者：

Qin, Xiaolong ^{[2
,3
]}

Shang, Meijuan ^{[1
]}

Su, Yongfu ^{[4
]}

机构：

[1] Shijiazhuang Univ, Dept Math, Shijiazhuang 050035, Peoples R China

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

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

[4] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 7-8期

关键词：

nonexpansive mapping; viscosity approximation method; equilibrium problem; fixed point;

D O I：

10.1016/j.mcm.2007.12.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The purpose of this paper is to study the strong convergence of a general iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variation inequalities for a relaxed cocoercive mapping and the set of solutions of an equilibrium problem. Our results extend recent results announced by many others. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1033 / 1046

页数：14

共 26 条

[1]

[Anonymous], B AM MATH SOC

[2]

Atsushiba S., 1999, Indian J. Math., V41, P435

[3] The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space [J].

Bauschke, HH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (01) :150-159

[4]

Blum E., 1994, MATH STUDENT, V63, P127

[5] Viscosity approximation methods for nonexpansive mappings and monotone mappings [J].

Chen, Junmin ;

Zhang, Lijuan ;

Fan, Tiegang .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (02) :1450-1461

[6]

Combettes P.L., 1995, P IEEE INT C IM PROC, P2025

[7]

Combettes PL, 2005, J NONLINEAR CONVEX A, V6, P117

[8]

COMBETTES PL, 1993, P IEEE, V81, P182, DOI 10.1109/5.214546

[9]

Deutsch F, 1998, NUMER FUNC ANAL OPT, V19, P33, DOI 10.1080/01630569808816813

[10] THE RATE OF CONVERGENCE OF DYKSTRAS CYCLIC PROJECTIONS ALGORITHM - THE POLYHEDRAL CASE [J].

DEUTSCH, F ;

HUNDAL, H .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1994, 15 (5-6) :537-565

← 1 2 3 →