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

页数：13

共 37 条

[1] Existence of solutions of systems of generalized implicit vector variational inequalities
Al-Homidan, S.
Ansari, Q. H.
Schaible, S.
[J]. 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
Ansari, QH
Schaible, S
Yao, JC
[J]. 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
BROWDER, FE
[J]. 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
BROWDER, FE
[J]. 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
Byrne, C
[J]. INVERSE PROBLEMS, 2004, 20 (01) : 103 - 120
[8] Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
Cho, Sun Young
Kang, Shin Min
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (02) : 224 - 228
[9] Regularization and iterative method for general variational inequality problem in hilbert spaces
Cho, Yeol J. E.
Petrot, Narin
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[10] Regularization method for Noor's variational inequality problem induced by a hemicontinuous monotone operator
Cho, Yeol Je
Petrot, Narin
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,

← 1 2 3 4 →