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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 122, Pages 243–249
DOI: https://doi.org/10.20310/1810-0198-2018-23-122-243-249 (Mi vtamu75) 		 
The inequality of Karisti and generalized compression (the case of singular images)

B. D. Gel'man

Voronezh State University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-122-243-249
Abstract: In the present paper we consider a new inequality of Carity type and prove a theorem on a fixed point. Further, relying on the theorem obtained, we study maps (generalized contractions) that compress relative to some function of two vector arguments. This function does not need to be a metric or even continuous.
Keywords: metric space, generalized compression, fixed point.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00677
The work is partially supported by the Russian Fund for Basic Research (projects № 16-01-00677).
Received: 21.03.2018
Bibliographic databases:
Document Type: Article
UDC: 517.988.6
Language: Russian
Citation: B. D. Gel'man, “The inequality of Karisti and generalized compression (the case of singular images)”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 243–249
Citation in format AMSBIB
\Bibitem{Gel18}
\by B.~D.~Gel'man
\paper The inequality of Karisti and generalized compression (the case of singular images)
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 122
\pages 243--249
\mathnet{http://mi.mathnet.ru/vtamu75}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-122-243-249}
\elib{https://elibrary.ru/item.asp?id=35213532}
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