WEAK CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS AND EQUILIBRIUM PROBLEMS

被引：0

作者：

Moudafi, Abdellatif

机构：

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2008年 / 9卷 / 01期

关键词：

Fixed point problem; variational inequality; inverse-strongly monotone operator; equilibrium problem; nonexpansive mapping;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a convergent method for approximating a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a monotone equilibrium problem. Using the main convergence theorem we obtain results which improve, develop and unify several results in fixed point problems, variational inequalities and equilibrium problems.

引用

页码：37 / 43

页数：7

共 50 条

[1] WEAK CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS AND NONSPREADING MAPPINGS IN HILBERT SPACES
Jiang, Li
Su, Yongfu
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (03): : 505 - 512
[2] CONVERGENCE THEOREMS FOR TWO FAMILIES OF WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND A FAMILY OF EQUILIBRIUM PROBLEMS
Zhang, Xin
Su, Yongfu
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 25 (04): : 583 - 607
[3] Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
Takahashi, Wataru
Zembayashi, Kei
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 45 - 57
[4] Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems
Nammanee, Kamonrat
Suantai, Suthep
Cholamjiak, Prasit
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[5] Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems
Mohammad Eslamian
[J]. Optimization Letters, 2013, 7 : 547 - 557
[6] Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems
Eslamian, Mohammad
[J]. OPTIMIZATION LETTERS, 2013, 7 (03) : 547 - 557
[7] Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces
Agarwal, Ravi P.
Chen, Jia-Wei
Cho, Yeol Je
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[8] Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces
Ravi P Agarwal
Jia-Wei Chen
Yeol Je Cho
[J]. Journal of Inequalities and Applications, 2013
[9] Weak convergence theorems for nonexpansive mappings and monotone mappings
Takahashi, W
Toyoda, M
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2003, 118 (02) : 417 - 428
[10] Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings
W. Takahashi
M. Toyoda
[J]. Journal of Optimization Theory and Applications, 2003, 118 : 417 - 428

← 1 2 3 4 5 →