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Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization

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Abstract

The aim of this paper is to present optimality conditions for Pareto efficiency of some set-valued optimization problems by means of Bouligand derivatives. The framework is that of general Banach spaces and the non-emptiness of the interior of the ordering cone in the output space is not assumed.

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Authors and Affiliations

  1. Faculty of Mathematics, Al. I. Cuza University, Bd. Carol I, nr. 11, 700506, Iasi, Romania

    M. Durea

  2. Department of Mathematics, Gh. Asachi Technical University, Bd. Carol I, nr. 11, 700506, Iasi, Romania

    R. Strugariu

Authors
  1. M. Durea
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  2. R. Strugariu
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Correspondence to R. Strugariu.

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Durea, M., Strugariu, R. Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization. Optim Lett 5, 141–151 (2011). https://doi.org/10.1007/s11590-010-0197-7

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  • DOI: https://doi.org/10.1007/s11590-010-0197-7

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