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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 151–155
DOI: https://doi.org/10.17377/semi.2017.14.015 (Mi semr774) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Geometry and topology

On attractors of iterated function systems in uniform spaces

M. Samuela, A. V. Tetenovbc

a Department of Mathematics, Bharatha Mata College, Kochi, India
b Novosibirsk State University
c Gorno-Altaisk State University
Full-text PDF (122 kB) Citations (6)
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DOI: https://doi.org/10.17377/semi.2017.14.015
Abstract: We prove Hutchinson's theorem for uniform spaces, that a finite system $\mathcal{S}$ of $\mathcal{B}$-contractions in complete, well-chained, Hausdorff uniform space defines unique compact attractor.
Keywords: self-similar set, uniform space, $\mathcal{B}$-contraction, asymptotical regularity.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00414_a
The work is supported by RFBR (grant 16-01-00414 А).
Received December 10, 2016, published March 1, 2017
Bibliographic databases:
Document Type: Article
UDC: 514.8, 515.12
MSC: 28A80
Language: English
Citation: M. Samuel, A. V. Tetenov, “On attractors of iterated function systems in uniform spaces”, Sib. Èlektron. Mat. Izv., 14 (2017), 151–155
Citation in format AMSBIB
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\by M.~Samuel, A.~V.~Tetenov
\paper On attractors of iterated function systems in uniform spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 151--155
\mathnet{http://mi.mathnet.ru/semr774}
\crossref{https://doi.org/10.17377/semi.2017.14.015}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200019}
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    • This publication is cited in the following 6 articles:
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