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Remarks on G-Metric Spaces
Bessem SametFrancesca VetroCalogero Vetrosubject
Discrete mathematicsPure mathematicsArticle Subjectlcsh:MathematicsInjective metric spaceEquivalence of metricslcsh:QA1-939Intrinsic metricConvex metric spaceUniform continuityMetric spaceSettore MAT/05 - Analisi MatematicaG-metric space metric space fixed pointMetric (mathematics)Metric mapMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-16 | International Journal of Analysis |