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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 315, Pages 19–25
DOI: https://doi.org/10.4213/tm4233 (Mi tm4233) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Covering Mappings Acting into Normed Spaces and Coincidence Points

A. V. Arutyunovab, S. E. Zhukovskiya

a V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
Full-text PDF (166 kB) Citations (2)
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DOI: https://doi.org/10.4213/tm4233
Abstract: We study the solvability of an equation generated by a mapping acting from a metric space into a normed space. For the radii of balls lying in the image of the mapping, we obtain an estimate in terms of covering mappings. Applying this result, we find conditions for the existence of coincidence points of two mappings.
Funding agency Grant number
Russian Science Foundation 20-11-20131
Ministry of Science and Higher Education of the Russian Federation МД-2658.2021.1.1
This work was supported by a grant of the President of the Russian Federation (project no. MD-2658.2021.1.1). Theorem 1 was obtained by the first author under the support of the Russian Science Foundation (grant no. 20-11-20131).
Received: March 31, 2021
Revised: April 29, 2021
Accepted: July 12, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 315, Pages 13–18
DOI: https://doi.org/10.1134/S0081543821050023
Bibliographic databases:
Document Type: Article
UDC: 517+515.126.4
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, “Covering Mappings Acting into Normed Spaces and Coincidence Points”, Optimal Control and Differential Games, Collected papers, Trudy Mat. Inst. Steklova, 315, Steklov Math. Inst., Moscow, 2021, 19–25; Proc. Steklov Inst. Math., 315 (2021), 13–18
Citation in format AMSBIB
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\paper Covering Mappings Acting into Normed Spaces and Coincidence Points
\inbook Optimal Control and Differential Games
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2021
\vol 315
\pages 19--25
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4233}
\crossref{https://doi.org/10.4213/tm4233}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2021
\vol 315
\pages 13--18
\crossref{https://doi.org/10.1134/S0081543821050023}
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  • https://doi.org/10.4213/tm4233
  • https://www.mathnet.ru/eng/tm/v315/p19
    • This publication is cited in the following 2 articles:
    1. N. S. Borzov, T. V. Zhukovskaya, I. D. Serova, “Obyknovennye differentsialnye uravneniya i differentsialnye uravneniya s zapazdyvaniem: obschie svoistva i osobennosti”, Vestnik rossiiskikh universitetov. Matematika, 28:142 (2023), 137–154  mathnet  crossref
    2. E. Zhukovskiy, E. Panasenko, “Extension of the Kantorovich theorem to equations in vector metric spaces: applications to functional differential equations”, Mathematics, 12:1 (2023), 64  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    References:30
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