CONVERGENCE THEOREMS FOR COMMON SOLUTIONS OF A SYSTEM OF EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITIES

被引：0

作者：

Zhang, Yifan ^{[1
]}

机构：

[1] Guizhou Inst Educ, Dept Math, Guiyang, Guizhou, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2015年

关键词：

Equilibrium problem; Fixed point; Monotone mapping; Nonexpansive mapping; Variational inequality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we studied a system of equilibrium problems and a monotone variational inequality. Weak convergence theorems of common solutions are established in the framework of Hilbert spaces.

引用

页数：10

共 11 条

[1]

Blum E., 1994, MATH STUDENT, V63, P123

[2] Strong convergence theorems for common solutions of a family of nonexpansive mappings and an accretive operator [J].

Cheng, Peng ;

Wu, Huilian .

FIXED POINT THEORY AND APPLICATIONS, 2013,

[3]

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

[4] Some results on a modified Mann iterative scheme in a reflexive Banach space [J].

Hao, Yan .

FIXED POINT THEORY AND APPLICATIONS, 2013,

[5] Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings [J].

Hao, Yan ;

Cho, Sun Young ;

Qin, Xiaolong .

FIXED POINT THEORY AND APPLICATIONS, 2009,

[6] Strong convergence of a general iterative algorithm in Hilbert spaces [J].

Lv, Songtao .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[7] ON MAXIMALITY OF SUMS OF NONLINEAR MONOTONE OPERATORS [J].

ROCKAFELLAR, RT .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 149 (01) :75-+

[8] WEAK AND STRONG-CONVERGENCE TO FIXED-POINTS OF ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS [J].

SCHU, J .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1991, 43 (01) :153-159

[9] APPROXIMATING FIXED-POINTS OF NONEXPANSIVE-MAPPINGS BY THE ISHIKAWA ITERATION PROCESS [J].

TAN, KK ;

XU, HK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 178 (02) :301-308

[10] Monotone variational inequalities, generalized equilibrium problems and fixed point methods [J].

Wang, Shenghua .

FIXED POINT THEORY AND APPLICATIONS, 2014,

← 1 2 →