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

Lassonde, Marc; Revalski, Julian

doi:10.1090/S0002-9939-05-07865-2

Fragmentability of sequences of set-valued mappings with applications to variational principles
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by Marc Lassonde and Julian P. Revalski

Proc. Amer. Math. Soc. 133 (2005), 2637-2646

DOI: https://doi.org/10.1090/S0002-9939-05-07865-2

Published electronically: March 15, 2005

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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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