Second-order optimality conditions in generalized semi-infinite programming

被引：25
|
作者：
Rückmann, JJ
Shapiro, A
机构：
[1] Tech Univ Ilmenau, Inst Math, D-98684 Ilmenau, Germany
[2] Georgia Inst Technol, Sch Ind & Syst Engn, Atlanta, GA 30332 USA
来源：
SET-VALUED ANALYSIS | 2001年 / 9卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
generalized semi-infinite programming; necessary and sufficient second-order optimality; conditions; optimal value function; second-order (parabolically) directionally differentiable; second-order growth condition;
D O I：
10.1023/A:1011239607220
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with generalized semi-infinite optimization problems where the (infinite) index set of inequality constraints depends on the state variables and all involved functions are twice continuously differentiable. Necessary and sufficient second-order optimality conditions for such problems are derived under assumptions which imply that the corresponding optimal value function is second-order (parabolically) directionally differentiable and second-order epiregular at the considered point. These sufficient conditions are, in particular, equivalent to the second-order growth condition.
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页码：169 / 186
页数：18
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