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Tambov University Reports. Series: Natural and Technical Sciences, 2017, Volume 22, Issue 6, Pages 1309–1313
DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1309-1313 (Mi vtamu134) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On coincidence points of two multi-valued mappings in spaces with vector-valued metrics

E. A. Pluzhnikovaab, Yu. A. Moiseeva, A. A. Repina

a Tambov State University named after G.R. Derzhavin
b RUDN University
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DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1309-1313
Abstract: Spaces with vector-valued metrics are considered. The values of a vector-valued metric are elements of a cone in some linear normed space. The concept of covering (metric regularity) for multi-valued mappings in spaces with vector-valued metrics is formulated. A statement about coincidence points of a metrically regular and a Lipschitz multi-valued mappings in spaces with vector-valued metrics is obtained.
Keywords: coincidence points of mappings, multi-valued mappings, covering mappings, metrically regular mappings, spaces with vector-valued metrics.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00553
15-01-04601
The work is partially supported by the Russian Fund for Basic Research (projects № 17-01-00553, № 15-01-04601).
Received: 02.09.2017
Document Type: Article
UDC: 517
Language: Russian
Citation: E. A. Pluzhnikova, Yu. A. Moiseev, A. A. Repin, “On coincidence points of two multi-valued mappings in spaces with vector-valued metrics”, Tambov University Reports. Series: Natural and Technical Sciences, 22:6 (2017), 1309–1313
Citation in format AMSBIB
\Bibitem{PluMoiRep17}
\by E.~A.~Pluzhnikova, Yu.~A.~Moiseev, A.~A.~Repin
\paper On coincidence points of two multi-valued mappings in spaces with vector-valued metrics
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2017
\vol 22
\issue 6
\pages 1309--1313
\mathnet{http://mi.mathnet.ru/vtamu134}
\crossref{https://doi.org/10.20310/1810-0198-2017-22-6-1309-1313}
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