Well-posedness and convexity in vector optimization

Enrico Miglierina, E. Miglierina, E. Molho

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

42 Citazioni (Scopus)

Abstract

We study a notion of well-posedness in vector optimization through the behaviour of minimizing sequences of sets, defined in terms of Hausdorff set-convergence. We show that the notion of strict efficiency is related to the notion of well-posedness. Using the obtained results we identify a class of well-posed vector optimization problems: the convex problems with compact efficient frontiers.
Lingua originaleEnglish
pagine (da-a)375-385
Numero di pagine11
RivistaMathematical Methods of Operations Research
Volume58
DOI
Stato di pubblicazionePubblicato - 2003

Keywords

  • Hausdorff set-convergence
  • Stability
  • Vector Optimization
  • Well-posedness

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