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2014 Generalized Metric Spaces Do Not Have the Compatible Topology
Tomonari Suzuki
Abstr. Appl. Anal. 2014(SI22): 1-5 (2014). DOI: 10.1155/2014/458098

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.

Citation

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Tomonari Suzuki. "Generalized Metric Spaces Do Not Have the Compatible Topology." Abstr. Appl. Anal. 2014 (SI22) 1 - 5, 2014. https://doi.org/10.1155/2014/458098

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022418
MathSciNet: MR3248859
Digital Object Identifier: 10.1155/2014/458098

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI22 • 2014
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