On functions preserving regular semimetrics and quasimetrics satisfying the relaxed polygonal inequality

DOI10.1007/s13398-020-00891-7zbMath1448.54016OpenAlexW3037689183MaRDI QIDQ783249

Filip Turoboś, Jacek R. Jachymski

Publication date: 12 August 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00891-7

zbMATH Keywords

metric spacessubadditive functionstriangle inequalityultrametric spacesquasimetric spacesChittenden conditionmetric-preserving functionsrelaxed polygonal inequality

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Monotonic functions, generalizations (26A48) Semimetric spaces (54E25)

Related Items (8)

On quasisymmetric mappings in semimetric spaces ⋮ Remarks on \(w\)-distances and metric-preserving functions ⋮ A note on generalized four-point inequality ⋮ Characterization of \(p\)-Banach spaces based on a reverse triangle inequality ⋮ Unnamed Item ⋮ The range of ultrametrics, compactness, and separability ⋮ On functions preserving products of certain classes of semimetric spaces ⋮ Hutchinson's theorem in semimetric spaces

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