Indexed by:期刊论文

Date of Publication:2008-04-15

Journal:NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals:SCIE、EI

Volume:68

Issue:8

Page Number:2357-2361

ISSN No.:0362-546X

Key Words:variational inequality; smoothing method; homotopy method; global convergence

Abstract: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.