Well-posedness and convexity in vector optimization

Enrico Miglierina, E. Miglierina, E. Molho

Research output: Contribution to journalArticlepeer-review

42 Citations (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.
Original languageEnglish
Pages (from-to)375-385
Number of pages11
JournalMathematical Methods of Operations Research
Volume58
DOIs
Publication statusPublished - 2003

Keywords

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

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