Abstract:
A.V. Arutyunov, E.S. Zhukovsky, S.E. Zhukovskii studied the coincidence points for mappings of partially ordered spaces in particular, it was proved that an covering and monotone mapping, acting from a partially ordered space $(X, {\succeq}_{_{_X}})$ to a partially ordered space $(Y, {\succeq}_{_{_Y}})$, have a coincidence point. It is shown that the conditions of this assertion can be weakened: the binary relation ${\succeq}_{_{_Y}} $ should not be in order. We give an appropriate result and and demonstrate an example of mappings satisfying
its conditions, but to which the results of the cited work are not applicable
Keywords:
coincidence point, partially ordered space, covering map, monotonic mapping.
The work is partially supported by the Russian Fund for Basic Research (projects №№ 17-01-00553, 16-01-00386).
Received: 15.01.2018
Bibliographic databases:
Document Type:
Article
UDC:517.988.63, 512.562
Language: Russian
Citation:
S. Benarab, E. S. Zhukovskiy, “On the conditions of existence coincidence points for mapping in partially ordered spaces”, Tambov University Reports. Series: Natural and Technical Sciences, 23:121 (2018), 10–16
\Bibitem{BenZhu18}
\by S.~Benarab, E.~S.~Zhukovskiy
\paper On the conditions of existence coincidence points for mapping in partially ordered spaces
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 121
\pages 10--16
\mathnet{http://mi.mathnet.ru/vtamu86}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-121-10-16}
\elib{https://elibrary.ru/item.asp?id=32697169}
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https://www.mathnet.ru/eng/vtamu86
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This publication is cited in the following 1 articles:
A. A. Bazulkina, L. I. Rodina, “Teorema sravneniya dlya sistem differentsialnykh uravnenii i ee primenenie dlya otsenki srednei vremennoi vygody ot sbora resursa”, Izv. IMI UdGU, 63 (2024), 3–17
Citation in format AMSBIB
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