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Prederivatives of convex set-valued maps and applications to set optimization problems

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Abstract

We investigate the existence of several kinds of prederivatives for set-valued mappings enjoying convex properties. Then, we established both necessary and sufficient optimality conditions, involving such prederivatives, for set optimization problems.

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Authors and Affiliations

  1. LAMIA, Department of Mathematics, Université des Antilles et de la Guyane, Pointe-à-Pitre, Guadeloupe, France

    Michaël Gaydu, Michel H. Geoffroy & Yvesner Marcelin

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  1. Michaël Gaydu
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  2. Michel H. Geoffroy
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  3. Yvesner Marcelin
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Correspondence to Michel H. Geoffroy.

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Gaydu, M., Geoffroy, M.H. & Marcelin, Y. Prederivatives of convex set-valued maps and applications to set optimization problems. J Glob Optim 64, 141–158 (2016). https://doi.org/10.1007/s10898-015-0338-8

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  • DOI: https://doi.org/10.1007/s10898-015-0338-8

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