Different solutions in Vector Optimization: a Characterization by a special scalarization

Enrico Miglierina, E Molho, A. Zaffaroni

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The aim of this work is to characterize the various sets of solutions of a vector optimization problem by means of a unique special scalarizing function. The different efficient frontiers are found as optimal scalar solutions according to a more restrictive definition of minimality: strict minima, sharp minima, well-posed minima. Moreover we link the notion of proper efficiency to some sort of stability of the scalar problem. In order to this goal, we study the convergence of the solutions of a suitable family of perturbed problems using the Kuratowski set-convergence.
Original languageEnglish
Title of host publicationOptimization in Economics, Finance and Industry
Number of pages14
Publication statusPublished - 2002
EventWorkshop "Optimization in Economics, Finance and Industry" - Verona
Duration: 14 Jun 200115 Jun 2001


WorkshopWorkshop "Optimization in Economics, Finance and Industry"


  • Vector optimization
  • proper efficiency
  • scalarization


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