Nonconical optimality conditions: Some additional results

G. B. Hazen*, T. L. Morin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The purpose of the present note is to provide a somewhat more flexible statement of the sufficiency conditions in Section 4 of Ref. 1 and to give explicit statements of the fundamental necessity and sufficiency results, which were only implicitly presented there. The additional flexibility is obtained by considering local, rather than global, pseudoconcavity requirements.

Original languageEnglish (US)
Pages (from-to)619-623
Number of pages5
JournalJournal of Optimization Theory and Applications
Volume41
Issue number4
DOIs
StatePublished - Dec 1 1983

Keywords

  • Multiple-objective optimization
  • existence theorems
  • first-order optimality conditions
  • normed linear spaces
  • vector optimization

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

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