Fragmentability of sequences of set-valued mappings with applications to variational principles

Marc Lassonde (1) , Julian Revalski (2)

1 LAMIA - Laboratoire de Mathématiques Informatique et Applications
2 Institute of Mathematics and Informatics

We propose to study fragmentability of set-valued mappings not only for a given single mapping, but also for a sequence of mappings associated with the initial one. It turns out that this property underlies several variational principles, such as for example the Deville-Godefroy-Zizler variational principle and the Stegall variational principle, by providing a common path for proof.

Domaines: Analyse fonctionnelle [math.FA]; Optimisation et contrôle [math.OC]

Marc Lassonde, Julian Revalski. Fragmentability of sequences of set-valued mappings with applications to variational principles. Proceedings of the American Mathematical Society, 2005, 133 (9), pp.2637-2646. ⟨hal-00698981⟩