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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 124, Pages 717–725
DOI: https://doi.org/10.20310/1810-0198-2018-23-124-717-725 (Mi vtamu16) 		 
On the existence of a non-anticipating selection of non-anticipating multivalued mapping

D. A. Serkovab, A. G. Chentsovab

a Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
b Ural Federal University named after B.N. Eltsin
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DOI: https://doi.org/10.20310/1810-0198-2018-23-124-717-725
Abstract: The existence of a non-anticipating selection of a non-anticipating multifunction is considered. For the case ordinary used in applications, it is shown that every non-anticipating multifunction with non-empty compact values has a nonanticipating selection.
Keywords: non-anticipating multifunction, non-anticipating selection.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00410
The work is supported by the Russian Fund for Basic Research (project № 18-01-00410).
Received: 18.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: D. A. Serkov, A. G. Chentsov, “On the existence of a non-anticipating selection of non-anticipating multivalued mapping”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 717–725
Citation in format AMSBIB
\Bibitem{SerChe18}
\by D.~A.~Serkov, A.~G.~Chentsov
\paper On the existence of a non-anticipating selection of non-anticipating multivalued mapping
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 124
\pages 717--725
\mathnet{http://mi.mathnet.ru/vtamu16}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-124-717-725}
\elib{https://elibrary.ru/item.asp?id=36239255}
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