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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(1), Pages 13–21
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-13-21 (Mi isu344) 		 
Mathematics

On Relationship between Derivative of Multifunction and Its Support Function

E. S. Polovinkin

Moscow Institute of Physics and Technology (State University)
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-13-21
Abstract: We obtain sufficient conditions under which the support function of the derivative of a set-valued mapping coincides with the derivative of the support function of a set-valued mapping in some sence. The example showing the difference between these concepts and the example of a Lipschitz set-valued mapping whose support function at any point does not have the mixed derivatives are obtained.
Key words: tangent cones, derivative of multifunctions, support function.
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. S. Polovinkin, “On Relationship between Derivative of Multifunction and Its Support Function”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013), 13–21
Citation in format AMSBIB
\Bibitem{Pol13}
\by E.~S.~Polovinkin
\paper On Relationship between Derivative of Multifunction and Its Support Function
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(1)
\pages 13--21
\mathnet{http://mi.mathnet.ru/isu344}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-1-13-21}
\elib{https://elibrary.ru/item.asp?id=21976842}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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