Generalized Metric Spaces Do Not Have the Compatible Topology
Open Access
- 4 August 2014
- journal article
- research article
- Published by Hindawi Limited in Abstract and Applied Analysis
- Vol. 2014, 1-5
- https://doi.org/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.Keywords
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