Geodesic
Covering Mappings Acting into Normed Spaces and Coincidence Points
Informatics and Automation, Optimal Control and Differential Games, Tome 315 (2021), pp. 19-25

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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. 
@article{TRSPY_2021_315_a1,
     author = {A. V. Arutyunov and S. E. Zhukovskiy},
     title = {Covering {Mappings} {Acting} into {Normed} {Spaces} and {Coincidence} {Points}},
     journal = {Informatics and Automation},
     pages = {19--25},
     publisher = {mathdoc},
     volume = {315},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a1/}
}
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A. V. Arutyunov; S. E. Zhukovskiy. Covering Mappings Acting into Normed Spaces and Coincidence Points. Informatics and Automation, Optimal Control and Differential Games, Tome 315 (2021), pp. 19-25. http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a1/