Browsing by Subject "Set-valued maps"

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    On Fixed Points of Locally and Pointwise Contractive Set-Valued Maps
    (2022-06) Loch-Temzelides, Ted
    Generalizations of Banach's (1922) contraction mapping theorem for single-valued maps satisfying pointwise or local contraction properties require additional restrictions on the underlying metric space. Using a Hausdorff metric, this paper establishes conditions under which pointwise or local contraction properties imply the existence of fixed points for set-valued maps.