Well-posedness and convexity in vector optimization

Miglierina Enrico and Molho Elena ()
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Miglierina Enrico: Department of Economics, University of Insubria, Italy
Molho Elena: University of Pavia, Italy

Economics and Quantitative Methods from Department of Economics, University of Insubria

Abstract: We study a notion of well-posedness in vector optimization through the behaviour fo minimizing sequences of sets, defined in terms of Hausdorff set-convergence. We prove the involvement of strict efficiency, a refinement of the notion of efficiency, in the definition of well-posedness. Using the previous 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 (search for similar items in EconPapers)
Pages: 16 pages
Date: 2002-11
New Economics Papers: this item is included in nep-mac and nep-mon
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:ins:quaeco:qf0221

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