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Russian Journal of Cybernetics, 2022, Volume 3, Issue 2, Pages 8–10
DOI: https://doi.org/10.51790/2712-9942-2022-3-2-1 (Mi uk107) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On fixed points of periodic continuous mappings to plane ${\mathbb R}^2$ and sphere $S^{2}$

V. A. Galkin

Surgut Branch of Federal State Institute “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Surgut, Russian Federation
Full-text PDF (178 kB) Citations (1)
DOI: https://doi.org/10.51790/2712-9942-2022-3-2-1
Abstract: The conditions for the emergence of a fixed point in an idempotent continuous mapping on the plane and, as a consequence, the existence of at least two fixed points for the mappings of this class on the two-dimensional sphere are studied.
Keywords: continuous mappings onto a plane, continuous mappings onto a sphere, periodic continuous mappings, fixed points.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0580-2021-0007
This study is the 47 GP government order contracted to the Scientific Research Institute for System Analysis, Russian Academy of Sciences, project No. 0580-2021-0007 Advancing Distribution System Simulation and Computation Methods
Document Type: Article
Language: Russian
Citation: V. A. Galkin, “On fixed points of periodic continuous mappings to plane ${\mathbb R}^2$ and sphere $S^{2}$”, Russian Journal of Cybernetics, 3:2 (2022), 8–10
Citation in format AMSBIB
\Bibitem{Gal22}
\by V.~A.~Galkin
\paper On fixed points of periodic continuous mappings to plane ${\mathbb R}^2$ and sphere~$S^{2}$
\jour Russian Journal of Cybernetics
\yr 2022
\vol 3
\issue 2
\pages 8--10
\mathnet{http://mi.mathnet.ru/uk107}
\crossref{https://doi.org/10.51790/2712-9942-2022-3-2-1}
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    • This publication is cited in the following 1 articles:
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