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Optimality conditions in non-convex set-valued optimization

Author

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  • Fabián Flores-Bazán

Abstract

The notion of radial epiderivative is introduced and then a necessary and sufficient condition for a point to be a weak minimal solution (weak-efficient solution) for a non-convex set-valued optimization problem is derived. Such a condition subsumes various necessary and/or sufficient conditions found in the literature for single-valued convex/non-convex mappings. Copyright Springer-Verlag Berlin Heidelberg 2001

Suggested Citation

  • Fabián Flores-Bazán, 2001. "Optimality conditions in non-convex set-valued optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 53(3), pages 403-417, July.
    • Handle: RePEc:spr:mathme:v:53:y:2001:i:3:p:403-417
    DOI: 10.1007/s001860100130
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    Cited by:

    1. Nguyen Anh & Phan Khanh, 2013. "Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives," Journal of Global Optimization, Springer, vol. 56(2), pages 519-536, June.

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