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math.OC2021
Controlled polyhedral sweeping processes: existence, stability, and optimality conditions
René Henrion, Abderrahim Jourani, Boris S. Mordukhovich
This paper is mainly devoted to the study of controlled sweeping processes with polyhedral moving sets in Hilbert spaces. Based on a detailed analysis of truncated Hausdorff distan…
math.FA2021
Geometric characterizations of the strict Hadamard differentiability of sets
Abderrahim Jourani, Moustapha Sène
Let be a closed subset of a Banach space . Assuming that is epi-Lipschitzian at in the boundary $ \bd S$ of , we show that is strictly Hadamard differen…