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

[31] Quadratic minimization for equilibrium problem variational inclusion and fixed point problem
Shi-sheng Zhang
Heung-wing Lee
Chi-kin Chan
[J]. Applied Mathematics and Mechanics, 2010, 31 : 917 - 928
[32] Quadratic minimization for equilibrium problem variational inclusion and fixed point problem
Zhang, Shi-sheng
Lee, Heung-wing
Chan, Chi-kin
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2010, 31 (07) : 917 - 928
[33] Quadratic minimization for equilibrium problem variational inclusion and fixed point problem
张石生
李向荣
陈志坚
[J]. Applied Mathematics and Mechanics(English Edition), 2010, 31 (07) : 917 - 928
[34] A regularization algorithm for a common solution of generalized equilibrium problem, variational inclusion and fixed point problems in Banach spaces
Promluang, Khanitttha
Kumam, Poom
[J]. 2015 INTERNATIONAL CONFERENCE ON SCIENCE AND TECHNOLOGY (TICST), 2015, : 402 - 415
[35] Strong Convergence of a System of Generalized Mixed Equilibrium Problem, Split Variational Inclusion Problem and Fixed Point Problem in Banach Spaces
Abbas, Mujahid
Ibrahim, Yusuf
Khan, Abdul Rahim
de la Sen, Manuel
[J]. SYMMETRY-BASEL, 2019, 11 (05):
[36] An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping
Kazmi, K. R.
Rizvi, S. H.
[J]. OPTIMIZATION LETTERS, 2014, 8 (03) : 1113 - 1124
[37] An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping
K. R. Kazmi
S. H. Rizvi
[J]. Optimization Letters, 2014, 8 : 1113 - 1124
[38] Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space
Zhou, Pei
Zhao, Gou-Jie
[J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
[39] COMMON SOLUTION FOR EQUILIBRIUM PROBLEMS QUASI-VARIATIONAL INCLUSION PROBLEMS AND FIXED POINT IN HADAMARD MANIFOLD
Chang, Shih-Sen
Zhu, Jinhua
Tang, Jinfang
Liu, Min
Zhao, Liangcai
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (12) : 2591 - 2607
[40] Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem
Rathee, Savita
Swami, Monika
[J]. AIMS MATHEMATICS, 2022, 7 (05): : 9325 - 9338

← 1 2 3 4 5 →