On Fixed Points of Locally and Pointwise Contractive Set-Valued Maps

Loch-Temzelides, Ted
2022-06
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On Fixed Points of Locally and Pointwise Contractive Set-Valued Maps

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2022-06

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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.

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University of Minnesota M.S. thesis. June 2022. Major: Mathematics. Advisor: Peter Olver. 1 computer file (PDF); v, 58 pages.

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Loch-Temzelides, Ted. (2022). On Fixed Points of Locally and Pointwise Contractive Set-Valued Maps. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/241544.

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