Scalarizations and its stability in vector optimization

Enrico Miglierina, E. Miglierina, E. Molho

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)

Abstract

A class of scalarizations of vector optimization problems is studied in order to characterize weakly efficient, efficient, and properly efficient points of a nonconvex vector problem. A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers. In particular, properly efficient points correspond to stable solutions with respect to suitable perturbations of the feasible set.
Original languageEnglish
Pages (from-to)657-670
Number of pages14
JournalJournal of Optimization Theory and Applications
Volume114
DOIs
Publication statusPublished - 2002

Keywords

  • Vector optimization
  • scalarization
  • set convergence
  • well-posedness

Fingerprint

Dive into the research topics of 'Scalarizations and its stability in vector optimization'. Together they form a unique fingerprint.

Cite this