点击次数：

论文类型：期刊论文

发表时间：2011-05-15

发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录刊物：SCIE

卷号：377

期号：2

页面范围：683-694

ISSN号：0022-247X

关键字：Boundary perturbation interior point homotopy method; Brouwer fixed point theorem; Nonconvex sets; Initial points

摘要：In this paper, a boundary perturbation interior point homotopy method is proposed to give a constructive proof of the general Brouwer fixed point theorem and thus solve fixed point problems in a class of nonconvex sets. Compared with the previous results, by using the newly proposed method, initial points can be chosen in the whole space of R(n), which may improve greatly the computational efficiency of reduced predictor-corrector algorithms resulted from that method. Some numerical examples are given to illustrate the results of this paper. (C) 2010 Elsevier Inc. All rights reserved.