AN ALGORITHM FOR FINDING A COMMON SOLUTION FOR A SYSTEM OF MIXED EQUILIBRIUM PROBLEM, QUASI-VARIATIONAL INCLUSION PROBLEM AND FIXED POINT PROBLEM OF NONEXPANSIVE SEMIGROUP

被引：0

作者：

Min, Liu ^{[1
]}

Chang, Shih-sen ^{[1
]}

Zuo, Ping ^{[1
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China

来源：

OPUSCULA MATHEMATICA | 2010年 / 30卷 / 04期

关键词：

nonexpansive semigroup; mixed equilibrium problem; viscosity approximation method; quasi-variational inclusion problem; multi-valued maximal monotone mappings; alpha-inverse-strongly monotone mapping;

D O I：

10.7494/OpMath.2010.30.4.465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for a nonexpansive semigroup and the set of solutions of the quasi-variational inclusion problem with multi-valued maximal monotone mappings and inverse-strongly monotone mappings in a Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend some recent results in the literature.

引用

页码：465 / 484

页数：20

共 50 条

[21] Iterative algorithm of common solutions for a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping
Ke, Yifen
Ma, Changfeng
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[22] Hybrid algorithm for common solution of monotone inclusion problem and fixed point problem and applications to variational inequalities
Zhang, Jingling
Jiang, Nan
[J]. SPRINGERPLUS, 2016, 5
[23] The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem
Ibrahim Karahan
Aydin Secer
Murat Ozdemir
Mustafa Bayram
[J]. Journal of Inequalities and Applications, 2015
[24] The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem
Karahan, Ibrahim
Secer, Aydin
Ozdemir, Murat
Bayram, Mustafa
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[25] STRONG CONVERGENCE THEOREMS FOR A NONMONOTONE EQUILIBRIUM PROBLEM AND A QUASI-VARIATIONAL INCLUSION PROBLEM
Yu, Youli
Yin, Tzu-Chien
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (03) : 503 - 512
[26] A NEW ALGORITHM FOR FINDING A COMMON SOLUTION OF A SPLIT VARIATIONAL INEQUALITY PROBLEM, THE FIXED POINT PROBLEMS AND THE VARIATIONAL INCLUSION PROBLEMS
Sun, Wenlong
Liu, Yanqiu
Jin, Yuanfeng
Park, Choonkil
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1677 - 1693
[27] Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups
Latif, Abdul
Eslamian, Mohammad
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 3217 - 3230
[28] Solving Split Variational Inclusion Problem and Fixed Point Problem for Nonexpansive Semigroup without Prior Knowledge of Operator Norms
Che, Haitao
Li, Meixia
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[29] Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces
Wen, Dao-Jun
Chen, Yi-An
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 14
[30] Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces
Dao-Jun Wen
Yi-An Chen
[J]. Journal of Inequalities and Applications, 2015

← 1 2 3 4 5 →