Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection

Repositorio Académico UOH

dc.contributor.author	Salas, D
dc.contributor.author	Thibault, L
dc.date.accessioned	2024-01-17T15:55:22Z
dc.date.available	2024-01-17T15:55:22Z
dc.date.issued	2021
dc.identifier.uri	https://repositorio.uoh.cl/handle/611/788
dc.description.abstract	The present paper is a continuation of a previous work with conditions for regularity of the metric projection. Here we provide a full quantitative characterization of closed bodies in Hilbert spaces with Cp+1-smooth boundary in terms of the smoothness of the metric projection and the behavior of its first derivative. (C) 2020 Elsevier Inc. All rights reserved.
dc.description.sponsorship	ANID-Chile under grant Fondecyt post-doctorado
dc.relation.uri	http://dx.doi.org/10.1016/j.jmaa.2020.124588
dc.subject	Metric projection
dc.subject	Nonconvex body
dc.subject	Submanifold
dc.subject	Prox-regular set
dc.subject	Epi-Lipschitz set
dc.subject	Normal cone
dc.title	Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection
dc.type	Artículo
uoh.revista	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
dc.identifier.doi	10.1016/j.jmaa.2020.124588
dc.citation.volume	494
dc.citation.issue	2
uoh.indizacion	Web of Science