Some Properties of General Minimization Problems with Constraints

被引:0
|
作者
Vy K. Le
Dumitru Motreanu
机构
[1] University of Missouri-Rolla,Department of Mathematics and Statistics
[2] Université de Perpignan,Département de Mathématiques
来源
Set-Valued Analysis | 2006年 / 14卷
关键词
minimization problems; constraints; Palais–Smale condition;
D O I
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学科分类号
摘要
The paper studies the existence of solutions and necessary conditions of optimality for a general minimization problem with constraints. Although we focus mainly on the case where the cost functional is locally Lipschitz, a general Palais–Smale condition is proposed and some of its properties are studied. Applications to an optimal control problem and a Lagrange multiplier rule are also given.
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页码:413 / 424
页数:11
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