Some new algorithms for solving mixed equilibrium problems

被引：12

作者：

Yao, Yonghong ^{[1
]}

Noor, Muhammad Aslam ^{[2
,3
]}

Liou, Yeong-Cheng ^{[4
]}

Kang, Shin Min ^{[5
,6
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

[2] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[4] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

[5] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[6] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 05期

关键词：

Mixed equilibrium problem; Projection methods; Variational inequality; Hilbert spaces; FIXED-POINT PROBLEMS; STRONG-CONVERGENCE THEOREM; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; VARIATIONAL-INEQUALITIES; ITERATIVE METHOD;

D O I：

10.1016/j.camwa.2010.06.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggest and analyze two projection methods (one implicit and one explicit) for finding a particular solution of a mixed equilibrium problem in a real Hilbert space. Furthermore, we prove that the proposed projection methods converge strongly to a particular solution of the mixed equilibrium problem. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1351 / 1359

页数：9

共 50 条

[41] Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem
Chamnarnpan, Tanom
Kumam, Poom
JOURNAL OF APPLIED MATHEMATICS, 2012,
[42] A new method of solving Nash equilibrium problems
Xu, Wenbo
Yu, Min
DCABES 2006 PROCEEDINGS, VOLS 1 AND 2, 2006, : 195 - 198
[43] SOME ALGORITHMS FOR SOLVING OPTIMIZATION PROBLEMS IN HILBERT SPACES
Jung, Jong Soo
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (01) : 21 - 35
[44] ITERATIVE SCHEMES FOR SOLVING REGULARIZED NONCONVEX MIXED EQUILIBRIUM PROBLEMS
Ansari, Qamrul Hasan
Balooee, Javad
Dogan, Kadri
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (04) : 607 - 622
[45] Algorithm of solutions for solving generalized mixed implicit equilibrium problems
Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
不详
J. Netw., 2 (381-388):
[46] New Algorithms for Solving Nonlinear Eigenvalue Problems
Gander, W.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021, 61 (05) : 761 - 773
[47] New Algorithms for Solving Nonlinear Eigenvalue Problems
W. Gander
Computational Mathematics and Mathematical Physics, 2021, 61 : 761 - 773
[48] NEW ITERATIVE ALGORITHM FOR SOLVING A SYSTEM OF GENERALIZED MIXED IMPLICIT EQUILIBRIUM PROBLEMS IN BANACH SPACES
Ding, Xie-Ping
Ho, Juei-Ling
TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (02): : 673 - 695
[49] GENETIC ALGORITHMS FOR SOLVING MIXED-DISCRETE OPTIMIZATION PROBLEMS
WU, SJ
CHOW, PT
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1994, 331B (04): : 381 - 401
[50] Two new splitting algorithms for equilibrium problems
Trinh Ngoc Hai
Nguyen The Vinh
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017, 111 : 1051 - 1069

← 1 2 3 4 5 →