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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/vtamu134
https://www.mathnet.ru/eng/vtamu/v22/i6/p1309
This publication is cited in the following 1 articles:
E. A. Pluzhnikova, T. V. Zhukovskaya, Yu. A. Moiseev, “On sets of metric regularity of mappings in spaces with vector-valued metric”, Russian Universities Reports. Mathematics, 23:123 (2018), 547–554
Citation in format AMSBIB
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