Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (178 kB)
References:
PDF
HTML
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
\Bibitem{EgeHusHus22}
\by N.~Ege, A.~Huseyin, N.~Huseyin
\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
\mathnet{http://mi.mathnet.ru/vuu817}
\crossref{https://doi.org/10.35634/vm220304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4494034}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000916470800004}
Linking options:
  • https://www.mathnet.ru/eng/vuu817
  • https://www.mathnet.ru/eng/vuu/v32/i3/p403
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
    Statistics & downloads:
    Abstract page:248
    Full-text PDF :54
    References:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024