On Characterizations of Submanifolds via Smoothness of the Distance Function in Hilbert Spaces

Repositorio Académico UOH

dc.contributor.author	Salas, D
dc.contributor.author	Thibault, L
dc.date.accessioned	2024-01-17T15:55:06Z
dc.date.available	2024-01-17T15:55:06Z
dc.date.issued	2019
dc.identifier.uri	https://repositorio.uoh.cl/handle/611/716
dc.description.abstract	The property of continuous differentiability with Lipschitz derivative of the square distance function is known to be a characterization of prox-regular sets. We show in this paper that the property of higher-order continuous differentiability with locally uniformly continuous last derivative of the square distance function near a point of a set characterizes, in Hilbert spaces, that the set is a submanifold with the same differentiability property near the point.
dc.relation.uri	http://dx.doi.org/10.1007/s10957-019-01473-3
dc.subject	Submanifolds
dc.subject	Distance function
dc.subject	Metric projection
dc.subject	Local uniform continuity
dc.subject	Diffeomorphism
dc.subject	Prox-regular set
dc.subject	Hilbert space
dc.title	On Characterizations of Submanifolds via Smoothness of the Distance Function in Hilbert Spaces
dc.type	Artículo
uoh.revista	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
dc.identifier.doi	10.1007/s10957-019-01473-3
dc.citation.volume	182
dc.citation.issue	1
uoh.indizacion	Web of Science