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$varphi$-pairs and common fixed points in cone metric spaces
Pasquale VetroCristina Di Barisubject
Cone metric spaces \and $\varphi$-pairs \and Common fixed points \and Coincidence pointsPure mathematicsGeneral MathematicsInjective metric spaceMathematical analysisFixed pointIntrinsic metricConvex metric spaceMetric spaceCone (topology)Settore MAT/05 - Analisi MatematicaMetric (mathematics)Metric mapMathematicsdescription
In this paper we introduce a contractive condition, called $\varphi \textrm{-}pair$, for two mappings in the framework of cone metric spaces and we prove a theorem which assures existence and uniqueness of common fixed points for $\varphi \textrm{-}pairs$. Also we obtain a result on points of coincidence. These results extend and generalize well-known comparable results in the literature.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-08-01 |