Optimum problems with measurable set-valued constraints

Z. Páles, Vera Zeidan

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper, we provide a complete analysis of second-order admissible variations to inequality-type constraints, which are given in terms of measurable 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.

Original languageEnglish
Pages (from-to)426-443
Number of pages18
JournalSIAM Journal on Optimization
Volume11
Issue number2
DOIs
Publication statusPublished - 2000

Fingerprint

Measurable set
Second-order Necessary Conditions
Set-valued Function
Measurable function
Closed set
Convex Sets
Deduce
Optimality
Interior
Optimization Problem

Keywords

  • Convex sets in L(Ω, double-struck R sign)
  • Measurable set-valued maps
  • Second-order admissible variations
  • Second-order optimality conditions
  • Support functional
  • Tangent and normal cones

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Optimum problems with measurable set-valued constraints. / Páles, Z.; Zeidan, Vera.

In: SIAM Journal on Optimization, Vol. 11, No. 2, 2000, p. 426-443.

Research output: Contribution to journalArticle

Páles, Z. ; Zeidan, Vera. / Optimum problems with measurable set-valued constraints. In: SIAM Journal on Optimization. 2000 ; Vol. 11, No. 2. pp. 426-443.
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