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Generalized Metric Spaces Do Not Have the Compatible Topology

Tomonari Suzuki

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study generalized metric spaces, which were introduced by Branciari (2000). 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.

Date: 2014
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https://doi.org/10.1155/2014/458098

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