Prederivatives of convex set-valued maps and applications to set optimization problems - Archive ouverte HAL
Article Dans Une Revue Journal of Global Optimization Année : 2016

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

Résumé

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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Mathématiques [math]

Michel H. Geoffroy  : Connectez-vous pour contacter le contributeur

https://hal.science/hal-01172386

Soumis le : mardi 7 juillet 2015-12:52:07

Dernière modification le : vendredi 5 avril 2024-13:10:37

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Dates et versions

hal-01172386 , version 1 (07-07-2015)

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Michaël Gaydu, Michel H. Geoffroy, Yvesner Marcelin. Prederivatives of convex set-valued maps and applications to set optimization problems. Journal of Global Optimization, 2016, 64 (1), pp.141-158 ⟨10.1007/s10898-015-0338-8⟩. ⟨hal-01172386⟩

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