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.
|Titolo della pubblicazione ospite
|Optimization in Economics, Finance and Industry
|Numero di pagine
|Stato di pubblicazione
|Pubblicato - 2002
|Workshop "Optimization in Economics, Finance and Industry" - Verona
Durata: 14 giu 2001 → 15 giu 2001
|Workshop "Optimization in Economics, Finance and Industry"
|14/6/01 → 15/6/01
- Vector optimization
- proper efficiency