Optimum problems with certain lower semicontinuous set-valued constraints

被引：19
|
作者：
Pales, Z
Zeidan, V
机构：
[1] Lajos Kossuth Univ, Inst Math, H-4010 Debrecen, Hungary
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
来源：
SIAM JOURNAL ON OPTIMIZATION | 1998年 / 8卷 / 03期
关键词：
set-valued maps; lower semicontinuous; nonempty interior; convex sets in C(T; R-r); support functional; tangent and normal cones; second-order admissible variations;
D O I：
10.1137/S105262349630725X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide a complete analysis of second-order admissible variations to inequality type constraints that are given in terms of lower semicontinuous set-valued functions whose images are closed convex sets with nonempty interior. As an application, we consider optimization problems where such constraints are present and we deduce second-order necessary conditions for optimality.
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页码：707 / 727
页数：21
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