Strongly convex sets with variable radii

Florent Nacry; Lionel Thibault

doi:10.3934/mcrf.2024044

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Strongly convex sets with variable radii

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Strongly convex sets with variable radii

Florent Nacry et Lionel Thibault

Mathematical Control and Related Fields, Vol.14(4), pp.1530-1559

2024

DOI: https://doi.org/10.3934/mcrf.2024044

Résumé

proximal normal

farthest points

farthest distance function

prox-regular sets

Strongly convex sets

We introduce in a general Hilbert space the class of -strongly convex sets. Various characterizations and properties of such sets involving the farthest distance function and the farthest points are provided.

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Titre: Strongly convex sets with variable radii
Créateurs - sans rôle: Florent Nacry - LAboratoire de Modélisation Pluridisciplinaire et Simulations
Lionel Thibault - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Détails de publication: Mathematical Control and Related Fields, Vol.14(4), pp.1530-1559
Identifiants: 99150851409311
Unité académique: Institut Montpelliérain Alexander Grothendieck - IMAG
Langue: English
Type de ressource: Journal article
Champs locaux: hal-05071246