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Well-posedness and convexity in vector optimization |
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| Authors: | |
| Institution: | (1) Dipartimento di Economia, Università degli Studi dell Insubria, Via Ravasi 2, 21100 Varese, Italy;(2) Dipartimento di Ricerche Aziendali, Università degli Studi di Pavia, Via San Felice, 5, 27100 Pavia, Italy |
| 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. |
| Keywords: | Vector optimization Well-posedness Stability Hausdorff set-convergence |
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