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Matematicheskie Zametki, 1997, Volume 61, Issue 4, Pages 530–542
DOI: https://doi.org/10.4213/mzm1532 (Mi mzm1532) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Subdifferentiability and superdifferentiability of distance functions

S. I. Dudov

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (214 kB) Citations (21)
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DOI: https://doi.org/10.4213/mzm1532
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.
Received: 19.12.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 4, Pages 440–450
DOI: https://doi.org/10.1007/BF02354988
Bibliographic databases:
UDC: 519.853.62
Language: Russian
Citation: S. I. Dudov, “Subdifferentiability and superdifferentiability of distance functions”, Mat. Zametki, 61:4 (1997), 530–542; Math. Notes, 61:4 (1997), 440–450
Citation in format AMSBIB
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\paper Subdifferentiability and superdifferentiability of distance functions
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\pages 530--542
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\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 4
\pages 440--450
\crossref{https://doi.org/10.1007/BF02354988}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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