First Order Optimality Conditions for Generalized Semi-Infinite Programming Problems

被引：0

作者：

J. J. Ye

S. Y. Wu

机构：

[1] University of Victoria,Department of Mathematics and Statistics

[2] National Cheng-Kung University,Institute of Applied Mathematics

[3] National Center for Theoretical Sciences,undefined

来源：

Journal of Optimization Theory and Applications | 2008年 / 137卷

关键词：

Necessary optimality conditions; Constraint qualifications; Nonsmooth analysis; Value function; Generalized semi-infinite programming problems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study first-order optimality conditions for the class of generalized semi-infinite programming problems (GSIPs). We extend various well-known constraint qualifications for finite programming problems to GSIPs and analyze the extent to which a corresponding Karush-Kuhn-Tucker (KKT) condition depends on these extensions. It is shown that in general the KKT condition for GSIPs takes a weaker form unless a certain constraint qualification is satisfied. In the completely convex case where the objective of the lower-level problem is concave and the constraint functions are quasiconvex, we show that the KKT condition takes a sharper form.

引用

页码：419 / 434

页数：15

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