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论文类型：期刊论文

发表时间：2008-04-15

发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录刊物：SCIE、EI

卷号：68

期号：8

页面范围：2357-2361

ISSN号：0362-546X

关键字：variational inequality; smoothing method; homotopy method; global convergence

摘要：in this paper, Using the Gabriel-More smoothing function of the median function, a smooth homotopy method for solving nonsmooth equation reformulation of bounded box constrained variational inequality problem VIP(l, u, F) is given. Without any monotonicity condition oil the defining map F, for starting point chosen almost everywhere in R-n, existence and convergence of the homotopy pathway are proven. Nevertheless, it is also proven that, if the starting point is chosen to be ail interior point of the box, the proposed homotopy method call also serve as ail interior point method. (C) 2007 Elsevier Ltd. All rights reserved.