Necessary and sufficient conditions for Kuhn-Tucker type optimality and for weak duality of nonsmooth programming

被引：0
|
作者：
Zhang, Ying [1 ]
Xu, Ying-Tao [1 ]
Wang, Fei [2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Hunan Normal Univ, Dept Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期
关键词：
Nonsmooth programming; Kuhn-Tucker point; Mixed type dual; Necessary and sufficient condition; Weak duality;
D O I：
10.1016/j.na.2009.02.082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with a nonsmooth programming problem with inequality constraints. We obtain an optimality condition for Kuhn-Tucker points to be minimizers. Later on, we present necessary and sufficient conditions for weak duality between the primal problem and its mixed type dual, which help us to extend some earlier work from the literature. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：4007 / 4011
页数：5
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