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EnglishWe 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]
| Autori: | |
| Titolo: | Well-posedness and convexity in vector optimization |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s001860300310 |
| URL: | http://www.springerlink.com/content/yrqg0e8526x1d81d/ |
| Data di pubblicazione: | 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. |
| Lingua: | Inglese |
| Rivista: | |
| Citazione: | 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] |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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