Fixed-Point Theorem for Isometric Self-Mappings

Joseph Frank Gordon

International Journal of Mathematics and Mathematical Sciences, 2020, vol. 2020, 1-4

Abstract:

In this paper, we derive a fixed-point theorem for self-mappings. That is, it is shown that every isometric self-mapping on a weakly compact convex subset of a strictly convex Banach space has a fixed point.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:3640539

DOI: 10.1155/2020/3640539

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