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
收藏
页码：1351 / 1359
页数：9
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