Covering Mappings Acting into Normed Spaces and Coincidence Points

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 poin...

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Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2021-12, Vol.315 (1), p.13-18
Hauptverfasser:	Arutyunov, A. V., Zhukovskiy, S. E.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0081-5438 1531-8605
DOI:	10.1134/S0081543821050023