ON A GENERALIZATION OF A NORMAL MAP AND EQUATION

被引：75

作者：

PANG, JS ^{[1
]}

YAO, JC ^{[1
]}

机构：

[1] NATL SUN YAT SEN UNIV,DEPT MATH APPL,KAOHSIUNG 804,TAIWAN

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1995年 / 33卷 / 01期

关键词：

NONSMOOTH EQUATION; COMPLEMENTARITY PROBLEM; VARIATIONAL INEQUALITY; DEGREE THEORY; STABILITY ANALYSIS;

D O I：

10.1137/S0363012992241673

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The class of normal maps was recently investigated by Robinson and Ralph in connection with the study of a variational inequality defined on a polyhedral set. In this paper a generalization of such a map is considered, and the associated generalized normal equation is studied. The latter provides a unified formulation of several generalized variational inequality and complementarity problems. Using degree theory, some sufficient conditions for the existence of a zero of a generalized normal map are established and the stability of a generalized normal equation at a solution is analyzed. Specializations of the results to various applications are discussed.

引用

页码：168 / 184

页数：17

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