Approximate solutions of multiobjective optimization problems
- Gutiérrez Vaquero, César
- Huerga Pastor, Lidia
ISSN: 1889-3805
Datum der Publikation: 2014
Ausgabe: 30
Nummer: 1
Seiten: 30-48
Art: Artikel
Andere Publikationen in: BEIO, Boletín de Estadística e Investigación Operativa
Zusammenfassung
This paper collects some recently published results on approximate solutions of infinite dimensional vector optimization problems. Here, they are obtained in a finite dimensional framework with simple formulations and proofs, in order to get a self-contained and illustrative work. To be exact, a concept of approximate nondominated solution is presented, and its main properties are studied. After that, a general scalarization scheme is introduced to characterize this kind of solutions via suboptimal solutions of associated scalar optimization problems. Finally, a Kuhn-Tucker multiplier rule is stated in convex problems ordered by components, that characterizes the more popular type of å-efficient solution of the literature