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Hausdorff quasi-distances, periodic and fixed points for Nadler type set-valued contractions in quasi-gauge spaces - MaRDI portal

Hausdorff quasi-distances, periodic and fixed points for Nadler type set-valued contractions in quasi-gauge spaces (Q264212)

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scientific article; zbMATH DE number 6563709
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Hausdorff quasi-distances, periodic and fixed points for Nadler type set-valued contractions in quasi-gauge spaces
scientific article; zbMATH DE number 6563709

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    Hausdorff quasi-distances, periodic and fixed points for Nadler type set-valued contractions in quasi-gauge spaces (English)
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    6 April 2016
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    Using the concepts of left and right quasi-distances of Hausdorff type on \(2^X\) (where \((X,P)\) is a quasi-gauge space), the author gives some fixed point and periodic point theorems. In particular, the single-valued case is also considered. Some nice examples illustrate the results.
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    Hausdorff distance
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    Nadler contraction
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    Banach contraction
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    periodic point
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    fixed point
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    localization
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    quasi-gauge space
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    generalized quasi-pseudodistance
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    dynamic system
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    convergence of dynamic process
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