Only 3-generalized metric spaces have a compatible symmetric topology

DOI10.1515/math-2015-0048zbMath1348.54025OpenAlexW2549836596MaRDI QIDQ317697

Tomonari Suzuki, Misako Kikkawa, Badriah A. S. Alamri

Publication date: 4 October 2016

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

Full work available at URL: https://doi.org/10.1515/math-2015-0048

zbMATH Keywords

topologymetrizability\(v\)-generalized metric spacesemimetrizablesymmetrizable

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99)

Related Items (10)

Comments on some recent generalization of the Banach contraction principle ⋮ Basic inequality on a \(b\)-metric space and its applications ⋮ FIXED POINT THEOREMS FOR θ-EXPANSIONS IN BRANCIARI METRIC SPACES ⋮ Nadler's fixed point theorem in \(\nu\)-generalized metric spaces ⋮ The strongly compatible topology on \(\nu \)-generalized metric spaces ⋮ A General Approach on Picard Operators ⋮ On the metrization problem of \(\nu\)-generalized metric spaces ⋮ Some metrization problem on \(\nu \)-generalized metric spaces ⋮ A survey on interpolative and hybrid contractions ⋮ Subordinate semimetric spaces and fixed point theorems

Cites Work

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• Caristi's fixed point theorem and Subrahmanyam's fixed point theorem in \(\nu\)-generalized metric spaces
• Generalized metric spaces do not have the compatible topology
• Generalized metrics and Caristi's theorem

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