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

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