Generalized metric spaces do not have the compatible topology (Q1724158)

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scientific article; zbMATH DE number 7022418
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Generalized metric spaces do not have the compatible topology
scientific article; zbMATH DE number 7022418

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    Generalized metric spaces do not have the compatible topology (English)
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    14 February 2019
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    Summary: We study generalized metric spaces, which were introduced by \textit{A. Branciari} [Publ. Math. 57, No. 1--2, 31--37 (2000; Zbl 0963.54031)]. In particular, generalized metric spaces do not necessarily have the compatible topology. Also we prove a generalization of the Banach contraction principle in complete generalized metric spaces.
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