Optimum problems with certain lower semicontinuous set-valued constraints

Z. Páles, Vera Zeidan

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)707-727
Number of pages21
JournalSIAM Journal on Optimization
Volume8
Issue number3
Publication statusPublished - Aug 1998

Fingerprint

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

Keywords

  • Convex sets in C(T, R)
  • Lower semicontinuous
  • Nonempty interior
  • Second-order admissible variations
  • Set-valued maps
  • Support functional
  • Tangent and normal cones

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Optimum problems with certain lower semicontinuous set-valued constraints. / Páles, Z.; Zeidan, Vera.

In: SIAM Journal on Optimization, Vol. 8, No. 3, 08.1998, p. 707-727.

Research output: Contribution to journalArticle

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