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

2021/03/04 by Piotr Maćkowiak, Maćkowiak, Piotr
Engineering · Mathematics · #47H09 #47H10 #54E50 #Algebraic and Geometric Analysis #Control and Stability of Dynamical Systems #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.2103.03343

openalex publication_date 2021/03/04 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

A version of the Bessaga inverse of the Banach contraction principle for partial metric spaces is presented. Equivalence of that version and the continuum hypothesis is shown as well.

Related

• Relation-theoretic contraction principle in metric-like as well as partial metric spaces
• On nonlinear contractions
• The contraction principle in extended context
• Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces
• Generalization of the Banach contraction principle