Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints

被引：107

作者：

Ye, JJ ^{[1
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

来源：

SIAM JOURNAL ON OPTIMIZATION | 2000年 / 10卷 / 04期

关键词：

optimization problems; variational inequality constraints; necessary optimality conditions; constraint qualifications; coderivatives of set-valued maps; nonsmooth analysis;

D O I：

10.1137/S105262349834847X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for the Kuhn Tucker type necessary optimality conditions involving Mordukhovich coderivatives are introduced and their relationships are studied. Applications to bilevel programming problems are also given.

引用

页码：943 / 962

页数：20

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