Sectionwise connected sets in vector optimization

Enrico Miglierina, E. Miglierina, E. Molho

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We introduce the notion of sectionwise connected set as a new tool to investigate nonconvex vector optimization. Indeed, the image of a K-convex set through a K-quasiconnected vector function is proved to be sectionwise connected. Some properties of the minimal frontiers of sectionwise connected sets are studied.
Original languageEnglish
Pages (from-to)295-298
Number of pages4
JournalOperations Research Letters
Volume37
DOIs
Publication statusPublished - 2009

Keywords

  • generalized convexity
  • stability
  • vector optimization

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