Hybrid methods for a class of monotone variational inequalities

被引：49

作者：

Lu, Xiwen ^{[2
]}

Xu, Hong-Kun ^{[1
]}

Yin, Ximing ^{[2
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Hybrid method; Variational inequality; Nonexpansive mapping; Iterative method; Projection; Hierarchical minimization; VISCOSITY APPROXIMATION METHODS; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; BANACH-SPACES; CONVERGENCE; OPERATORS;

D O I：

10.1016/j.na.2008.11.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use contractions to regularize a class of monotone variational inequalities, where the monotone operators are complements of nonexpansive mappings and the Solutions are sought in the set of fixed points of another nonexpansive mapping. Such variational inequalities include monotone inclusions and convex optimization problems to be solved over the fixed point sets of nonexpansive mappings. Both implicit and explicit schemes are shown to be strongly convergent. An application in hierarchical minimization is included. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1032 / 1041

页数：10

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