The Properties of a Homotopy Path of Nonlinear Complementarity Problems

被引：0

作者：

Wang, Xiuyu ^{[1
]}

Jiang, Xingwu ^{[2
]}

Liu, Qinghuai ^{[3
]}

机构：

[1] Changchun Univ Technol, Sch Basic Sci, Changchun 130012, Peoples R China

[2] Jilin Business & Technol Coll, Changchun, Peoples R China

[3] Changhua Univ Technol, Inst Appl Math, Changchun 130012, Peoples R China

来源：

FIFTH INTERNATIONAL CONFERENCE ON DIGITAL IMAGE PROCESSING (ICDIP 2013) | 2013年 / 8878卷

关键词：

complementarity problem; quasi-(P)*-mapping; (P(tau; alpha; beta))-mapping; alternative theorem; EXCEPTIONAL FAMILY;

D O I：

10.1117/12.2030635

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, we study the following nonlinear complementarity problem: f : R-n -> R-n, find x >= 0, such that f(x) >= 0, x(T) f(x)=0. We use Poineare-Bohn's homotopy invariance theorem of degree to derive an alternative theorem, and give a new exceptional families. Based on this result, for the nonlinear complementarity problems with a quasi-(P)*-mapping or a (P(tau, alpha, beta)) -mapping, a sufficiently condition is established to assure the existence and boundedness of solution curve.

引用

页数：6

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