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Rotative mappings and mappings with constant displacement - MaRDI portal

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Rotative mappings and mappings with constant displacement (Q2761636)

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scientific article; zbMATH DE number 1686052
Language Label Description Also known as
English
Rotative mappings and mappings with constant displacement
scientific article; zbMATH DE number 1686052

    Statements

    24 April 2003
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    nonexpansive mappings
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    rotative mappings
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    periodic mappings
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    constant displacement
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    fixed points
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    Rotative mappings and mappings with constant displacement (English)
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    This is an expository paper on the following problem: Let \(X\) be a Banach space, \(Y\subset X\) a nonempty closed convex subset of \(X\) and \(f:Y\to Y\) a nonexpansive mapping. Under which additional metric restrictions on \(f\), does the mapping \(f\) have at least one fixed point? This survey focusses on rotative mappings and on mappings with constant displacement.NEWLINENEWLINEFor the entire collection see [Zbl 0970.54001].
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