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On Lipschitz-like property for polyhedral moving sets

Published 13 Nov 2018 in math.OC | (1811.05166v1)

Abstract: We give sufficient conditions for Lipschitz-likeness of a class of polyhedral set-valued mappings in Hilbert spaces based on Relaxed Constant Rank Constraint Qualification (RCRCQ) proposed recently by Minchenko and Stakhovsky. To this aim we prove the R-regularity of the considered set-valued mapping and correct the respective proof given by these authors.

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