Title: Strongly convex sets with variable radii.
Authors: Nacry, Florent; Thibault, Lionel
Abstract: We introduce in a general Hilbert space the class of $ \rho(\cdot) $-strongly convex sets. Various characterizations and properties of such sets involving the farthest distance function and the farthest points are provided.
Subjects: HILBERT space; POINT set theory
Publication: Mathematical Control & Related Fields, 2024, Vol 14, Issue 4, p1
ISSN: 2156-8472
Publication type: Academic Journal
DOI: 10.3934/mcrf.2024044

Strongly convex sets with variable radii.

Nacry, Florent; Thibault, Lionel