A New General Iterative Methods for Solving the Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems of Nonexpansive Mappings

被引：0

作者：

Thailert, Ekkarath ^{[1
]}

Wangkeeree, Rabian ^{[1
]}

Preechasilp, Pakkapon ^{[2
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Pibulsongkram Rajabhat Univ, Fac Educ, Program Math, Phitsanulok 65000, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2016年 / 14卷 / 01期

关键词：

equilibrium problem; convex problem; nonexpansive mapping; Hilbert space; fixed point;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the new general iterative methods for finding a common solution set of equilibrium problems and the set of fixed points of nonexpansive mappings which is a solution of a certain optimization problem related to a strongly positive linear operator. Under suitable control conditions, we prove the strong convergence theorems of such iterative scheme in a real Hilbert space. The main result extends various results existing in the current literature.

引用

页码：53 / 67

页数：15

共 50 条

[1] A general iterative method for solving equilibrium problems, variational inequality problems and fixed point problems of an infinite family of nonexpansive mappings
Jaiboon C.
Kumam P.
[J]. Journal of Applied Mathematics and Computing, 2010, 34 (1-2) : 407 - 439
[2] 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
Atid Kangtunyakarn
[J]. Fixed Point Theory and Applications, 2010
[3] 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
Kangtunyakarn, Atid
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[4] A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings
Shenghua Wang
YeolJe Cho
Xiaolong Qin
[J]. Fixed Point Theory and Applications, 2010
[5] A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings
Wang, Shenghua
Cho, Yeol Je
Qin, Xiaolong
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[6] A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
Plubtieng, Somyot
Punpaeng, Rattanaporn
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (02) : 548 - 558
[7] An iterative algorithm for solving fixed point problems, variational inequality problems and mixed equilibrium problems
Yao, Yonghong
Cho, Yeol Je
Chen, Rudong
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 3363 - 3373
[8] An iterative algorithm for solving equilibrium problems, variational inequalities and fixed point problems of multivalued quasi-nonexpansive mappings
Sow, T.M.M.
[J]. Applied Set-Valued Analysis and Optimization, 2019, 1 (02): : 171 - 185
[9] Iterative Approaches to Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings
Ceng, L. C.
Petrusel, A.
Yao, J. C.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 143 (01) : 37 - 58
[10] Iterative Approaches to Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings
L. C. Ceng
A. Petruşel
J. C. Yao
[J]. Journal of Optimization Theory and Applications, 2009, 143 : 37 - 58

← 1 2 3 4 5 →