Constraint Qualifications for Nonsmooth Mathematical Programs with Equilibrium Constraints

被引：13

作者：

Movahedian, N. ^{[1
]}

Nobakhtian, S. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan, Iran

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2009年 / 17卷 / 01期

关键词：

Mathematical programs with equilibrium constraints; Necessary optimality conditions; Constraint qualification; Nonsmooth analysis; OPTIMALITY CONDITIONS; LIPSCHITZIAN; OPTIMIZATION; CALCULUS; CALMNESS; SYSTEMS;

D O I：

10.1007/s11228-009-0103-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study nonsmooth mathematical programs with equilibrium constraints. First we consider a general disjunctive program which embeds a large class of problems with equilibrium constraints. Then, we establish several constraint qualifications for these optimization problems. In particular, we generalize the Abadie and Guignard-type constraint qualifications. Subsequently, we specialize these results to mathematical program with equilibrium constraints. In our investigation, we show that a local minimum results in a so-called M-stationary point under a very weak constraint qualification.

引用

页码：61 / 93

页数：33

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