Yu Bo
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A boundary perturbation interior point homotopy method for solving fixed point problems
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Indexed by:期刊论文

Date of Publication:2011-05-15

Journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals:SCIE

Volume:377

Issue:2

Page Number:683-694

ISSN No.:0022-247X

Key Words:Boundary perturbation interior point homotopy method; Brouwer fixed point theorem; Nonconvex sets; Initial points

Abstract: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.

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Gender:Male

Alma Mater:吉林大学

Degree:Doctoral Degree

School/Department:数学科学学院

Discipline:Computational Mathematics. Financial Mathematics and Actuarial Science

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