Generalized Metric Spaces Do Not Have the Compatible Topology

By Tomonari Suzuki. 2014

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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.

Subfields: Astronomy and Astrophysics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d4810d14d165a6a0a32ac10cc7e5a26082a087d7