Cite this article as:

Polovinkin E. S. On Relationship between Derivative of Multifunction and Its Support Function. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 1, pp. 13-21. DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-13-21

Language: 
Russian
Heading: 
Mathematics
UDC: 
517.9

On Relationship between Derivative of Multifunction and Its Support Function

Authors: 
Polovinkin Evgeny Sergeevich, Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow, Russia , polovinkin@mail.mipt.ru
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
DOI: 
https://doi.org/10.18500/1816-9791-2013-13-1-1-13-21
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