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Second order sufficient optimality conditions in vector optimization

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Author Info

  • Ning E.
  • Wen Song

    ()

  • Yu Zhang
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    Abstract

    In this paper, we mainly consider second-order sufficient conditions for vector optimization problems. We first present a second-order sufficient condition for isolated local minima of order 2 to vector optimization problems and then prove that the second-order sufficient condition can be simplified in the case where the constrained cone is a convex generalized polyhedral and/or Robinson’s constraint qualification holds. Copyright Springer Science+Business Media, LLC. 2012

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    File URL: http://hdl.handle.net/10.1007/s10898-011-9776-0
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    Bibliographic Info

    Article provided by Springer in its journal Journal of Global Optimization.

    Volume (Year): 54 (2012)
    Issue (Month): 3 (November)
    Pages: 537-549

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    Handle: RePEc:spr:jglopt:v:54:y:2012:i:3:p:537-549

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    Web page: http://www.springer.com/business/operations+research/journal/10898

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    Related research

    Keywords: Isolated local minimizer; Generalized polyhedral; Second order growth condition; Second-order sufficient conditions; Robinson’s constraint qualification;

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