文献类型：期刊文献

英文题名：Hybrid methods for a class of monotone variational inequalities

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

年份：2009

卷号：71

期号：3-4

起止页码：1032

外文期刊名：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录：;EI(收录号：20091912076054);WOS:【SCI-EXPANDED(收录号:WOS:000266699600032)】；

基金：The second author was supported in part by NSC 97-2628-M-110-003-MY3 (Taiwan).

语种：英文

外文关键词：Hybrid method; Variational inequality; Nonexpansive mapping; Iterative method; Projection; Hierarchical minimization

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.