Characterization of metric regularity of subdifferentials

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Title:	Characterization of metric regularity of subdifferentials
Authors:	Aragón Artacho, Francisco Javier \| Geoffroy, Michel H.
Research Group/s:	Programación Semi-infinita
Center, Department or Service:	Universidad de Alicante. Departamento de Estadística e Investigación Operativa \| Université des Antilles et de la Guyane. Département de Mathématiques
Keywords:	Set-valued mapping \| Subdifferential \| Metric regularity \| Quadratic growth condition
Knowledge Area:	Matemáticas
Date Created:	2006
Issue Date:	2008
Publisher:	Heldermann Verlag
Citation:	ARAGÓN ARTACHO, Francisco Javier; GEOFFROY, Michel H. "Characterization of metric regularity of subdifferentials". Journal of Convex Analysis. Vol. 15, No. 2 (2008). ISSN 0944-6532, pp. 365-380
Abstract:	We study regularity properties of the subdifferential of proper lower semicontinuous convex functions in Hilbert spaces. More precisely, we investigate the metric regularity and subregularity, the strong regularity and subregularity of such a subdifferential. We characterize each of these properties in terms of a growth condition involving the function.
Sponsor:	Grant BES-2003-0188 from FPI Program of MEC (Spain); Contract EA3591 (France).
URI:	http://hdl.handle.net/10045/8806
ISSN:	0944-6532
Language:	eng
Type:	info:eu-repo/semantics/article
Peer Review:	si
Appears in Collections:	INV - LOPT - Artículos de Revistas

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