Well-posedness and scalarization in vector optimization

Enrico Miglierina, E. Miglierina, E. Molho, M. Rocca

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)

Abstract

In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.
Original languageEnglish
Pages (from-to)391-409
Number of pages19
JournalJournal of Optimization Theory and Applications
Volume126
DOIs
Publication statusPublished - 2005

Keywords

  • Generalized convexity
  • Nonlinear scalarization
  • Vector optimization problems
  • Well-posedness

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