A HYBRID METHOD FOR A SYSTEM INVOLVING EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND NONEXPANSIVE SEMIGROUP

被引：1

作者：

Le Quang Thuy ^{[1
]}

Le Dung Muu ^{[2
]}

机构：

[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet Rd, Hanoi, Vietnam

[2] Vietnam Acad Sci & Technol, Inst Math, Hanoi, Vietnam

来源：

KOREAN JOURNAL OF MATHEMATICS | 2015年 / 23卷 / 03期

关键词：

fixed point; variational inequality; equilibrium problems; nonexpansive mapping; pseudomonotonicity; semigroup;

D O I：

10.11568/kjm.2015.23.3.457

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we propose an iteration hybrid method for approximating a point in the intersection of the solution-sets of pseudomonotone equilibrium and variational inequality problems and the fixed points of a semigroup-nonexpensive mappings in Hilbert spaces. The method is a combination of projection, extragradient-Armijo algorithms and Manns method. We obtain a strong convergence for the sequences generated by the proposed method.

引用

页码：457 / 478

页数：22

共 50 条

[21] A new hybrid algorithm for a system of equilibrium problems and variational inclusion
Jitpeera T.
Kumam P.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2011, 57 (1) : 89 - 108
[22] A HYBRID VISCOSITY APPROXIMATION METHOD FOR A COMMON SOLUTION OF A GENERAL SYSTEM OF VARIATIONAL INEQUALITIES, AN EQUILIBRIUM PROBLEM, AND FIXED POINT PROBLEMS
Yazdi, Maryam
Sababe, Saeed Hashemi
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2023, 41 (01): : 153 - 172
[23] An explicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of an infinite family of nonexpansive mappings
He, Huimin
Liu, Sanyang
Zhou, Haiyun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) : 3124 - 3135
[24] MANN TYPE HYBRID EXTRAGRADIENT METHOD FOR VARIATIONAL INEQUALITIES, VARIATIONAL INCLUSIONS AND FIXED POINT PROBLEMS
Ceng, L. -C.
Ansari, Q. H.
Wong, M. M.
Yao, J. -C.
FIXED POINT THEORY, 2012, 13 (02): : 403 - 422
[25] Solving variational inequalities involving nonexpansive type mappings
Wong, N. C.
Sahu, D. R.
Yao, J. C.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) : 4732 - 4753
[26] A Hybrid Method for Monotone Variational Inequalities Involving Pseudocontractions
Yonghong Yao
Giuseppe Marino
Yeong-Cheng Liou
Fixed Point Theory and Applications, 2011
[27] Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups
Cholamjiak, Prasit
Suantai, Suthep
JOURNAL OF GLOBAL OPTIMIZATION, 2013, 57 (04) : 1277 - 1297
[28] An iterative algorithm for solving equilibrium problems, variational inequalities and fixed point problems of multivalued quasi-nonexpansive mappings
Sow T.M.M.
Applied Set-Valued Analysis and Optimization, 2019, 1 (02): : 171 - 185
[29] Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups
Prasit Cholamjiak
Suthep Suantai
Journal of Global Optimization, 2013, 57 : 1277 - 1297
[30] Some results on generalized equilibrium problems involving a family of nonexpansive mappings
Qin, Xiaolong
Cho, Sun Young
Kang, Shin Min
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3113 - 3126

← 1 2 3 4 5 →