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    Denjoy-Wolff theorems for Hilbert’s and Thompson’s metric spaces

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    Date
    2018
    Author
    Lemmens, Bas
    Wortel, Marten
    Lins, Brian
    Nussbaum, Roger
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    Abstract
    We study the dynamics of fixed point free mappings on the interior of a normal, closed cone in a Banach space that are nonexpansive with respect to Hilbert’s metric or Thompson’s metric. We establish several Denjoy-Wolff type theorems which confirm conjectures by Karlsson and Nussbaum for an important class of nonexpansive mappings. We also extend and put into a broader perspective results by Gaubert and Vigeral concerning the linear escape rate of such nonexpansive mappings
    URI
    http://hdl.handle.net/10394/26677
    https://doi.org/10.1007/s11854-018-0022-2
    https://link.springer.com/article/10.1007/s11854-018-0022-2
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    • Faculty of Natural and Agricultural Sciences [4855]

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