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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2022, Volume 32, Issue 3, Pages 403–414
DOI: https://doi.org/10.35634/vm220304 (Mi vuu817) 		 
MATHEMATICS

Upper and lower directional derivative sets and differentials of the set valued maps

N. Egea, A. Huseyinb, N. Huseyinb

a Eskişehir Technical University, Eskişehir, 26470, Turkey
b Sivas Cumhuriyet University, Sivas, 58140, Turkey
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DOI: https://doi.org/10.35634/vm220304
Abstract: In this paper directional derivative sets and differentials of a given set valued map are studied. Different type relations between directional derivative sets and differentials of a set valued map are specified. It is established that every compact subset of lower derivative set can be used for lower approximation of given set valued map. Upper and lower contingent cones of some plane sets are calculated and compared.
Keywords: set valued map, contingent cone, differential, directional derivative set, Hausdorff deviation.
Received: 02.08.2022
Accepted: 10.09.2022
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 26E25, 54C60
Language: English
Citation: N. Ege, A. Huseyin, N. Huseyin, “Upper and lower directional derivative sets and differentials of the set valued maps”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:3 (2022), 403–414
Citation in format AMSBIB
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\paper Upper and lower directional derivative sets and differentials of the set valued maps
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2022
\vol 32
\issue 3
\pages 403--414
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\crossref{https://doi.org/10.35634/vm220304}
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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