Optimum problems with measurable set-valued constraints

Authors
Pales, Z Zeidan, V
Citation
Z. Pales et V. Zeidan, Optimum problems with measurable set-valued constraints, SIAM J OPTI, 11(2), 2000, pp. 426-443
Citations number
27
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON OPTIMIZATION
ISSN journal
10526234 → ACNP
Volume
11
Issue
2
Year of publication
2000
Pages
426 - 443
Database
ISI
SICI code
1052-6234(20001110)11:2<426:OPWMSC>2.0.ZU;2-Q
Abstract
In this paper, we provide a complete analysis of second-order admissible va riations to inequality-type constraints, which are given in terms of measur able 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 fo r optimality.