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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 547–554
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-547-554 (Mi vtamu57) 		 
Scientific articles

On sets of metric regularity of mappings in spaces with vector-valued metric

E. A. Pluzhnikovaa, T. V. Zhukovskayab, Yu. A. Moiseeva

a Tambov State University named after G.R. Derzhavin
b Tambov State Technical University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-547-554
Abstract: Spaces with vector-valued metric are considered. The values of a vectorvalued metric are elements of a cone in some linear normed space. The concept of the set of metric regularity for mapping in spaces with vector-valued metric is formulated. A statement on the stability of the set of metric regularity of a given mapping for its Lipschitz perturbations in spaces with vector-valued metric is obtained.
Keywords: nonlinear mapping, space with vector-valued metric, the set of metric Regularity.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-12064
18-01-00106
18-31-00227
The work is partially supported by the Russian Fund for Basic Research (projects №№ 17-51-12064, 18-01-00106, 18-31-00227).
Received: 10.04.2018
Bibliographic databases:
Document Type: Article
UDC: 515.124.2 + 517.988.5
Language: Russian
Citation: E. A. Pluzhnikova, T. V. Zhukovskaya, Yu. A. Moiseev, “On sets of metric regularity of mappings in spaces with vector-valued metric”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 547–554
Citation in format AMSBIB
\Bibitem{PluZhuMoi18}
\by E.~A.~Pluzhnikova, T.~V.~Zhukovskaya, Yu.~A.~Moiseev
\paper On sets of metric regularity of mappings in spaces with vector-valued metric
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 547--554
\mathnet{http://mi.mathnet.ru/vtamu57}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-547-554}
\elib{https://elibrary.ru/item.asp?id=36452705}
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