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Matematicheskie Zametki, 1998, Volume 63, Issue 2, Pages 217–224
DOI: https://doi.org/10.4213/mzm1268 (Mi mzm1268) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings

V. S. Mel'nik

Glushkov Institute of Cybernetics NAS Ukraine
Full-text PDF (196 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1268
Abstract: We obtain estimates for the Hausdorff and fractal dimensions of sets $A\subset X$ invariant under multimappings $F\colon X\to 2X$ of a Banach space $X$ into the power set of $X$.
Received: 25.05.1993
Revised: 24.04.1997
English version:
Mathematical Notes, 1998, Volume 63, Issue 2, Pages 190–196
DOI: https://doi.org/10.1007/BF02308758
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. S. Mel'nik, “Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings”, Mat. Zametki, 63:2 (1998), 217–224; Math. Notes, 63:2 (1998), 190–196
Citation in format AMSBIB
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\paper Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings
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\pages 217--224
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\transl
\jour Math. Notes
\yr 1998
\vol 63
\issue 2
\pages 190--196
\crossref{https://doi.org/10.1007/BF02308758}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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