Auxiliary principle and iterative algorithm for a new system of generalized mixed equilibrium problems in Banach spaces

被引：9

作者：

Ding, Xie Ping ^{[1
]}

机构：

[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期

关键词：

System of generalized mixed equilibrium problems involving skew-symmetric bifunctions; Auxiliary principle; Iterative algorithm; Reflexive Banach space; VARIATIONAL-LIKE INEQUALITIES; PREDICTOR-CORRECTOR ALGORITHMS; SENSITIVITY-ANALYSIS; EXISTENCE; SCHEME;

D O I：

10.1016/j.amc.2011.08.097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a new system of generalized mixed equilibrium problems involving skew-symmetric bifunctions (SGMEP) in reflexive Banach spaces. A system of auxiliary mixed equilibrium problems (SAMEP) for solving the SGMEP is introduced and the existence and uniqueness of the solutions of the SAMEP is first proved. Next, by using the auxiliary principle technique, a new iterative algorithm to compute the approximate solutions of the SGMEP is suggested and analyzed. Finally, the strong convergence of the iterative sequences generated by the algorithm is also proved under quite mild conditions. These results improve, unify and generalize some known results in recent literature. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：3507 / 3514

页数：8

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