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Well-posedness and convexity in vector optimization

Author

Listed:
  • Miglierina Enrico

    (Department of Economics, University of Insubria, Italy)

  • Molho Elena

    (University of Pavia, Italy)

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.

Suggested Citation

  • Miglierina Enrico & Molho Elena, 2002. "Well-posedness and convexity in vector optimization," Economics and Quantitative Methods qf0221, Department of Economics, University of Insubria.
    • Handle: RePEc:ins:quaeco:qf0221
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    File URL: https://www.eco.uninsubria.it/RePEc/pdf/QF2002_38.pdf
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    References listed on IDEAS

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    Cited by:

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    Keywords

    vector-optimization; well-posedness; stability; Hausdorff set-convergence;
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