Remarks on -Metric Spaces

By Bessem Samet, Calogero Vetro, Francesca Vetro. 2013

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In 2005, Mustafa and Sims (2006) introduced and studied a new class of generalized metric spaces, which are called -metric spaces, as a generalization of metric spaces. We establish some useful propositions to show that many fixed point theorems on (nonsymmetric) -metric spaces given recently by many authors follow directly from well-known theorems on metric spaces. Our technique can be easily extended to other results as shown in application.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/901c4eb2814c9495d30e9b081d10a612dbd34f51