Weak convergence theorems for common solutions of a system of equilibrium problems and operator equations involving nonexpansive mappings

被引：0

作者：

Cheng, Peng ^{[1
]}

Zhang, Anshen ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

equilibrium problem; monotone mapping; nonexpansive mapping; projection; variational inequality; FIXED-POINT PROBLEMS; NONLINEAR VARIATIONAL-INEQUALITIES; GENERALIZED EQUILIBRIUM; PROJECTION METHODS; HILBERT-SPACES; EXISTENCE; APPROXIMATION;

D O I：

10.1186/1029-242X-2013-87

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a monotone variational inequality, a system of equilibrium problems, and nonexpansive mappings are investigated based on an iterative algorithm. Weak convergence theorems of common solutions are established in Hilbert spaces. AMS Subject Classification: 47H05, 47H09, 47J25.

引用

收藏

页数：13

相关论文

共 37 条

[1] Existence of solutions of systems of generalized implicit vector variational inequalities [J].

Al-Homidan, S. ;

Ansari, Q. H. ;

Schaible, S. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 134 (03) :515-531

[2]

[Anonymous], ADV FIXED POINT THEO

[3] The system of generalized vector equilibrium problems with applications [J].

Ansari, QH ;

Schaible, S ;

Yao, JC .

JOURNAL OF GLOBAL OPTIMIZATION, 2002, 22 (1-4) :3-16

[4]

Blum E., 1994, Math. Stud., V63, P127

[5] FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE [J].

BROWDER, FE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 53 (06) :1272-&

[6] NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE [J].

BROWDER, FE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 54 (04) :1041-&

[7] A unified treatment of some iterative algorithms in signal processing and image reconstruction [J].

Byrne, C .

INVERSE PROBLEMS, 2004, 20 (01) :103-120

[8] Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process [J].

Cho, Sun Young ;

Kang, Shin Min .

APPLIED MATHEMATICS LETTERS, 2011, 24 (02) :224-228

[9] Regularization and iterative method for general variational inequality problem in hilbert spaces [J].

Cho, Yeol J. E. ;

Petrot, Narin .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

[10] Regularization method for Noor's variational inequality problem induced by a hemicontinuous monotone operator [J].

Cho, Yeol Je ;

Petrot, Narin .

FIXED POINT THEORY AND APPLICATIONS, 2012,

← 1 2 3 4 →