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Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings - MaRDI portal

Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings (Q1272277)

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scientific article; zbMATH DE number 1228272
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English
Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings
scientific article; zbMATH DE number 1228272

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    Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings (English)
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    15 August 1999
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    Some results (due to O. Ladyzhenskaya) on the estimates of the Hausdorff and fractal dimensions of \(F\)-invariant sets \(A\subset X\) are generalized on the case of multimapping \(F:X\rightarrow 2^X\) where \(X\) denotes a Banach space.
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    multimapping
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    Banach space
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    invariant subset
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    Hausdorff dimension
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    fractal dimension
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    attractors
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