Article ISI
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  (2021)

Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection

Salas, David; Thibault, Lionel

Abstract

The present paper is a continuation of a previous work with conditions for regularity of the metric projection. Here we provide a full quantitative characterization of closed bodies in Hilbert spaces with Cp+1-smooth boundary in terms of the smoothness of the metric projection and the behavior of its first derivative. (C) 2020 Elsevier Inc. All rights reserved.

Más información

Título según WOS: Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection
Título de la Revista: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volumen: 494
Número: 2
Editorial: ACADEMIC PRESS INC ELSEVIER SCIENCE
Fecha de publicación: 2021
DOI:

10.1016/J.JMAA.2020.124588
Notas: ISI