Proximal Determination of Convex Functions

Repositorio Académico UOH

dc.contributor.author	Vilches, E
dc.date.accessioned	2024-01-17T15:55:21Z
dc.date.available	2024-01-17T15:55:21Z
dc.date.issued	2021
dc.identifier.uri	https://repositorio.uoh.cl/handle/611/781
dc.description.abstract	We provide comparison principles for convex functions through its proximal mappings. Consequently, we prove that the norm of the proximal operator determines a convex the function up to a constant. A new characterization of Lipschitzianity in terms of the proximal operator is given.
dc.description.sponsorship	ANID Chile under grant Fondecyt de Iniciacion
dc.description.sponsorship	ANID Chile under grant Fondecyt Regular
dc.subject	Proximal operator
dc.subject	determination of convex functions
dc.subject	Moreau decomposition
dc.subject	Legendre-Fenchel conjugate
dc.title	Proximal Determination of Convex Functions
dc.type	Artículo
uoh.revista	JOURNAL OF CONVEX ANALYSIS
dc.citation.volume	28
dc.citation.issue	4
uoh.indizacion	Web of Science