On Lipschitz-like property for polyhedral moving sets

2018/11/13 by Bednarczuk, Ewa M., Rutkowski, Krzysztof E.
#41A50 #46C05 #49K27 #52A07 #90C31 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1811.05166

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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