This article is cited in 21 papers

Subdifferentiability and superdifferentiability of distance functions

S. I. Dudov

Saratov State University named after N. G. Chernyshevsky

Abstract: We obtain necessary and sufficient conditions for the subdifferentiability and superdifferentiability (in the Dem'yanov–Rubinov sense) of the distance in an arbitrary norm from a point to a set for the finitedimensional case. The geometric structure of the subdifferential and the superdifferential is described.

UDC: 519.853.62

Received: 19.12.1995

DOI: 10.4213/mzm1532

 English version: Mathematical Notes, 1997, 61:4, 440–450

Bibliographic databases:

• 
• 
•