Article ISI
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  (2021)

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

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