On variational inequality, fixed point and generalized mixed equilibrium problems

被引：0

作者：

Dong Feng Li

Juan Zhao

机构：

[1] North China University of Water Resources and Electric Power,School of Information Engineering

[2] North China University of Water Resources and Electric Power,School of Mathematics and Information Science

来源：

Journal of Inequalities and Applications | / 2014卷

关键词：

fixed point; equilibrium problem; monotone mapping; nonexpansive mapping; projection;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, variational inequality, fixed point, and generalized mixed equilibrium problems are investigated based on an extragradient iterative algorithm. Weak convergence of the extragradient iterative algorithm is obtained in Hilbert spaces.

引用

共 50 条

[21] A New Hybrid Iterative Algorithm for Fixed-Point Problems, Variational Inequality Problems, and Mixed Equilibrium Problems [J].

Yonghong Yao ;

Yeong-Cheng Liou ;

Jen-Chih Yao .

Fixed Point Theory and Applications, 2008

[22] Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications [J].

Wang, Shenghua ;

Marino, Giuseppe ;

Liou, Yeong-Cheng .

JOURNAL OF GLOBAL OPTIMIZATION, 2012, 54 (01) :155-171

[23] Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications [J].

Shenghua Wang ;

Giuseppe Marino ;

Yeong-Cheng Liou .

Journal of Global Optimization, 2012, 54 :155-171

[24] CONVERGENCE THEOREMS OF COMMON SOLUTIONS FOR FIXED POINT, VARIATIONAL INEQUALITY AND EQUILIBRIUM PROBLEMS [J].

Shahzad, Naseer ;

Zegeye, Habtu .

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2019, 3 (02) :189-203

[25] Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems [J].

Yao, Yonghong ;

Cho, Yeol Je ;

Liou, Yeong-Cheng .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2011, 212 (02) :242-250

[26] Viscosity approximation schemes for fixed point problems and equilibrium problems and variational inequality problems [J].

Hu, Chang Song ;

Cai, Gang .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1792-1808

[27] A Hybrid Method for Generalized Equilibrium, Variational Inequality and Fixed Point Problems of Finite Family of Nonexpansive Mappings [J].

Peathanom, Sommay ;

Phuengrattana, Withun .

THAI JOURNAL OF MATHEMATICS, 2011, 9 (01) :95-119

[28] A viscosity of Cesaro mean approximation method for split generalized equilibrium, variational inequality and fixed point problems [J].

Deepho, Jitsupa ;

Martinez-Moreno, Juan ;

Kumam, Poom .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04) :1475-1496

[29] Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings [J].

Atid Kangtunyakarn .

Fixed Point Theory and Applications, 2010

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

Shenghua Wang .

Fixed Point Theory and Applications, 2014

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