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.

Miglierina, E., Molho, E., Well-posedness and convexity in vector optimization, <<MATHEMATICAL METHODS OF OPERATIONS RESEARCH>>, 2003; 58 (3): 375-385. [doi:10.1007/s001860300310] [http://dx.medra.org/10.1007/s001860300310] [http://hdl.handle.net/10807/1830]

Well-posedness and convexity in vector optimization

Miglierina, Enrico;
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.
eng
http://www.springerlink.com/content/yrqg0e8526x1d81d/
Miglierina, E., Molho, E., Well-posedness and convexity in vector optimization, <>, 2003; 58 (3): 375-385. [doi:10.1007/s001860300310] [http://dx.medra.org/10.1007/s001860300310] [http://hdl.handle.net/10807/1830]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/1830
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