The strongly compatible topology on \(\nu \)-generalized metric spaces

DOI10.1007/s13398-017-0380-0zbMath1382.54015OpenAlexW2586442026MaRDI QIDQ683623

Tomonari Suzuki

Publication date: 8 February 2018

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/s13398-017-0380-0

zbMATH Keywords

completenessmetrizability\(\nu\)-generalized metric space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Topological spaces with richer structures (54E99)

Related Items (5)

Basic inequality on a \(b\)-metric space and its applications ⋮ Jachymski-Matkowski-Świątkowski's fixed point theorem ⋮ Nadler's fixed point theorem in \(\nu\)-generalized metric spaces ⋮ Some metrization problem on \(\nu \)-generalized metric spaces ⋮ Properties and principles in Branciari distance space

Cites Work

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• Only 3-generalized metric spaces have a compatible symmetric topology
• Caristi's fixed point theorem and Subrahmanyam's fixed point theorem in \(\nu\)-generalized metric spaces
• Fixed points of Ćirić-Matkowski-type contractions in \(\nu \)-generalized metric spaces
• Generalized metric spaces do not have the compatible topology
• Generalized metrics and Caristi's theorem
• Erratum to: ``Generalized metrics and Caristi's theorem
• CONTRACTIONS OVER GENERALIZED METRIC SPACES
• Completeness of 3-generalized metric spaces

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