Strong convergence theorem by hybrid method for equilibrium problems, variational inequality problems and maximal monotone operators

被引：3
|
作者：
Dong, Qiao-Li [1 ]
Deng, Bin-Chao [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2010年 / 4卷 / 04期
关键词：
Hybrid method; Equilibrium problem; Variational inequality; Inverse-strongly-monotone operators; Maximal monotone operators; BANACH-SPACES; WEAK; APPROXIMATION; MAPPINGS;
D O I：
10.1016/j.nahs.2010.04.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We introduce an iterative scheme for finding a common element of the solution set of the equilibrium problem, the solution set of the variational inequality problem for an inverse-strongly-monotone operators and the solution set of a maximal monotone operator in a 2-uniformly convex and uniformly smooth Banach space, and then we present strong convergence theorems which generalize the results of many others. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：689 / 698
页数：10
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