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
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