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Russian Universities Reports. Mathematics, 2019, Volume 24, Issue 125, Pages 39–46
DOI: https://doi.org/10.20310/1810-0198-2019-24-125-39-46 (Mi vtamu96) 		 
Scientific articles

The set of regularity of a multivalued mappingin a space with a vector-valued metric

T. V. Zhukovskayaa, E. A. Pluzhnikovab

a Tambov State Technical University
b Tambov State University named after G.R. Derzhavin
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DOI: https://doi.org/10.20310/1810-0198-2019-24-125-39-46
Abstract: We consider multivalued mappings acting in spaces with a vector-valued metric. A vector-valued metric is understood as a mapping satisfying the axioms “of an ordinary metric” with values in the cone of a linear normed space. The concept of the regularity set of a multivalued mapping is defined. A set of regularity is used in the study of inclusions in spaces with a vector-valued metric.
Keywords: multi-valued mapping; space with vector-valued metric; metric regularity; Lipschitz mapping; inclusion.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00553
17-41-680975
18-31-00227
The work is partially supported by the Russian Foundation for Basic Research (projects no. 17-01-00553-а, no. 17-41-680975-р_а, no. 18-31-00227-мол_а).
Received: 16.01.2019
Bibliographic databases:
Document Type: Article
UDC: 515.124.2, 515.126.4, 517.988.52
Language: Russian
Citation: T. V. Zhukovskaya, E. A. Pluzhnikova, “The set of regularity of a multivalued mappingin a space with a vector-valued metric”, Russian Universities Reports. Mathematics, 24:125 (2019), 39–46
Citation in format AMSBIB
\Bibitem{ZhuPlu19}
\by T.~V.~Zhukovskaya, E.~A.~Pluzhnikova
\paper The set of regularity of a multivalued mapping\\ in a space with a vector-valued metric
\jour Russian Universities Reports. Mathematics
\yr 2019
\vol 24
\issue 125
\pages 39--46
\mathnet{http://mi.mathnet.ru/vtamu96}
\crossref{https://doi.org/10.20310/1810-0198-2019-24-125-39-46}
\elib{https://elibrary.ru/item.asp?id=37526679}
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