Nonsmooth semi-infinite programming problems with mixed constraints

被引：27

作者：

Kanzi, N. ^{[1
]}

Nobakhtian, S. ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 01期

关键词：

Optimality conditions; Semi-infinite programming; Mixed constraints; Nonsmooth analysis; SYSTEMS;

D O I：

10.1016/j.jmaa.2008.10.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonsmooth semi-infinite programming problem with a feasible set defined by inequality and equality constraints and a set constraint. First, we Study some alternative theorems which involve linear and sublinear functions and a convex set and we propose several generalizations of them. Then, alternative theorems are applied to obtain, under different constraint qualifications, several necessary optimality conditions in the type of Fritz-John and Karush-Kuhn-Tucker. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：170 / 181

页数：12

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[2]

[Anonymous], 1969, Nonlinear programming: a unified approach

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[Anonymous], 1991, CONVEX ANAL MINIMIZA

[4]

[Anonymous], 1970, PRINCETON MATH SER