A converse of the Banach contraction principle for partial metric spaces and the continuum hypothesis

DOI10.1007/s00025-023-02072-5arXiv2103.03343OpenAlexW3133721152MaRDI QIDQ6143223

Piotr Maćkowiak

Publication date: 4 January 2024

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03343

zbMATH Keywords

Banach contraction principlecontinuum hypothesispartial metric spaceBessaga inverse theorem

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• A Converse of Banach's Contraction Theorem
• A converse to Banach's contraction theorem

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