HYBRID-EXTRAGRADIENT TYPE METHODS FOR A GENERALIZED EQUILIBRIUM PROBLEM AND VARIATIONAL INEQUALITY PROBLEMS OF NONEXPANSIVE SEMIGROUPS

被引：0

作者：

Katchang, Phayap ^{[2
]}

Kumam, Poom ^{[1
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, Bangkok 10140, Thailand

[2] Rajamangala Univ Technol Lanna Tak, Fac Sci & Agr Technol, Dept Math & Stat, Tak 63000, Thailand

来源：

FIXED POINT THEORY | 2012年 / 13卷 / 01期

关键词：

Generalized equilibrium problem; variational inequalities; Strong convergence; Nonexpansive; Semigroup; Hilbert space; Extragradient method; Hybrid method; WEAK-CONVERGENCE THEOREMS; MAPPINGS; APPROXIMATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study and introduce modified mann iterative algorithms for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of variational inequalities and the set of fixed points for nonexpansive semigroups. Then, we prove strong convergence theorems in a real Hilbert space by using the hybrid-extragradient type methods in the mathematical programming under some appropriate control conditions.

引用

页码：107 / 120

页数：14

共 50 条

[31] Some extragradient methods for common solutions of generalized equilibrium problems and fixed points of nonexpansive mappings
Peng, Jian-Wen
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[32] Accelerated Subgradient Extragradient Methods for Variational Inequality Problems
Duong Viet Thong
Nguyen The Vinh
Yeol Je Cho
[J]. Journal of Scientific Computing, 2019, 80 : 1438 - 1462
[33] Modified hybrid iterative methods for generalized mixed equilibrium, variational inequality and fixed point problems
Jung, Jong Soo
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3732 - 3754
[34] Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces
Cai, Gang
Bu, Shangquan
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2013, 55 (02) : 437 - 457
[35] Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces
Gang Cai
Shangquan Bu
[J]. Journal of Global Optimization, 2013, 55 : 437 - 457
[36] A hybrid scheme for fixed points of a countable family of generalized nonexpansive-type maps and finite families of variational inequality and equilibrium problems, with applications
Uba, Markjoe O.
Onyido, Maria A.
Udeani, Cyril, I
Nwokoro, Peter U.
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2023, 39 (01) : 281 - 292
[37] Modified subgradient extragradient method for solution of split variational inequality problem with application to generalized Nash equilibrium problem
Chugh, Renu
Gupta, Nishu
Batra, Charu
[J]. OPTIMIZATION, 2024,
[38] 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,
[39] 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
[40] SOME MODIFIED EXTRAGRADIENT METHODS FOR COMMON SOLUTIONS OF GENERALIZED EQUILIBRIUM PROBLEMS AND FIXED POINTS OF NONEXPANSIVE MAPPINGS
Peng, Jian-Wen
Wong, Ngai-Ching
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (01): : 353 - 363

← 1 2 3 4 5 →