Two refinements of Frink's metrization theorem and fixed point results for Lipschitzian mappings on quasimetric spaces

DOI10.1007/S00010-018-0597-9zbMath1416.54013OpenAlexW2889235981MaRDI QIDQ1731443

Katarzyna Chrząszcz, Filip Turoboś, Jacek R. Jachymski

Publication date: 13 March 2019

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-018-0597-9

zbMATH Keywords

contractionfixed pointmetricBanach fixed point theoremmetrizationquasimetric spaceCaristi fixed point theoremsemimetric spaceCantor intersection theorem

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Uniform structures and generalizations (54E15) Semimetric spaces (54E25)

Related Items (7)

How much can we extend the Assouad embedding theorem? ⋮ On the existence of bi-Lipschitz equivalent metrics in semimetric spaces ⋮ Generalized contractions for a sequence of multi-valued mappings ⋮ Properties and principles in Branciari distance space ⋮ Hyperbolic spaces and directional contractions ⋮ Hutchinson's theorem in semimetric spaces ⋮ Applications of ball spaces theory: fixed point theorems in semimetric spaces and ball convergence

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