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Matematicheskie Zametki, 2014, Volume 95, Issue 1, Pages 123–128
DOI: https://doi.org/10.4213/mzm10209 (Mi mzm10209) 		 
On a Counterexample in Analysis

E. S. Polovinkin

Moscow Institute of Physics and Technology (State University)
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DOI: https://doi.org/10.4213/mzm10209
Abstract: An example of multivalued convex-valued Lipschitz mapping from $\mathbb R^n$ into $\mathbb R^m$ such that, at any point, the support function of this mapping has no mixed derivatives in the sense of Gâteaux with respect to the initial and conjugate variables is constructed.
Keywords: multivalued convex-valued Lipschitz mapping, support function, convex analysis, Cantor function.
Received: 10.03.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 1, Pages 111–115
DOI: https://doi.org/10.1134/S0001434614010118
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. S. Polovinkin, “On a Counterexample in Analysis”, Mat. Zametki, 95:1 (2014), 123–128; Math. Notes, 95:1 (2014), 111–115
Citation in format AMSBIB
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