A. V. Arutyunov, S. E. Zhukovskiy, “Covering Mappings Acting into Normed Spaces and Coincidence Points”, Trudy Mat. Inst. Steklova, 2021, Volume 315,Pages <nobr>19

This article is cited in 2 papers

Covering Mappings Acting into Normed Spaces and Coincidence Points

A. V. Arutyunov^ab, S. E. Zhukovskiy^a

^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

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.

UDC: 517+515.126.4

Received: March 31, 2021
Revised: April 29, 2021
Accepted: July 12, 2021

DOI: 10.4213/tm4233