We study a notion of well-posedness in vector optimization through the behaviour of minimizing sequences of sets, defined in terms of Hausdorff set-convergence. We show that the notion of strict efficiency is related to the notion of well-posedness. Using the obtained results we identify a class of well-posed vector optimization problems: the convex problems with compact efficient frontiers.

Well-posedness and convexity in vector optimization

MIGLIERINA, ENRICO;MOLHO, ELENA
2003

Abstract

We study a notion of well-posedness in vector optimization through the behaviour of minimizing sequences of sets, defined in terms of Hausdorff set-convergence. We show that the notion of strict efficiency is related to the notion of well-posedness. Using the obtained results we identify a class of well-posed vector optimization problems: the convex problems with compact efficient frontiers.
Vector optimization; Well-posedness; Stability; Hausdorff set convergence
Miglierina, Enrico; Molho, Elena
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11383/1488683
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