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

Michaël Gaydu (1) , Michel H. Geoffroy (1) , Yvesner Marcelin (1)

1 LAMIA - Laboratoire de Mathématiques Informatique et Applications

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.

Domaines: Mathématiques [math]

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⟩