Journal Articles Proceedings of the American Mathematical Society Year : 2005

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

Abstract

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.
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Dates and versions

hal-00698981 , version 1 (18-05-2012)

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  • HAL Id : hal-00698981 , version 1

Cite

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⟩
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