Remarks on \(G\)-metric spaces (Q355621)

Summary: In 2005, Mustafa and Sims (2006) introduced and studied a new class of generalized metric spaces, which are called \(G\)-metric spaces, as a generalization of metric spaces. We establish some useful propositions to show that many fixed point theorems on (nonsymmetric) \(G\)-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.