This article is cited in 4 papers

Necessary Conditions for Differentiability of Distance Functions

V. S. Balaganskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: Necessary conditions for the Gâteaux differentiability of the distance function to a set are considered. A series of characterizing results is obtained.

UDC: 517.5

Received: 13.03.2002

DOI: 10.4213/mzm468

 English version: Mathematical Notes, 2002, 72:6, 752–756

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