Autori
Crespi, Giovanni Paolo
Rocca, Matteo
Ginchev, Ivan

Titolo
First order optimality conditions for constrained set-valued optimization
Periodico
Università degli Studi dell'Insubria. Dipartimento di Economia. Quaderni di ricerca
Anno: 2004 - Fascicolo: 23 - Pagina iniziale: 1 - Pagina finale: 14

A constrained optimization problem with set-valued data is considered. Different kind of solutions are defined for such a problem. We recall weak minimizer, efficient minimizer and proper minimizer. The latter are defined in a way that embrace also the case when the ordering cone is not pointed. Moreover we present the new concept of isolated minimizer for set-valued optimization. These notions are investigated and appear when establishing first-order necessary and sufficient optimality conditions derived in terms of a Dini type derivative for set valued maps. The case of convex(along rays) data is considered when studying sufficient optimality conditions for weak minimizers.



Testo completo: http://eco.uninsubria.it/dipeco/quaderni/files/QF2004_23.pdf

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