Search results for "Caristi's fixed point theorem"

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Metric or partial metric spaces endowed with a finite number of graphs: a tool to obtain fixed point results

2014

Abstract We give some fixed point theorems in the setting of metric spaces or partial metric spaces endowed with a finite number of graphs. The presented results extend and improve several well-known results in the literature. In particular, we discuss a Caristi type fixed point theorem in the setting of partial metric spaces, which has a close relation to Ekelandʼs principle.

Discrete mathematicsMetric spaceUniform continuityInjective metric spaceCaristi's fixed point theorem Ekeland's principle graph metric space partial metric space.Metric mapMetric treeGeometry and TopologyEquivalence of metricsSettore MAT/03 - GeometriaConvex metric spaceMathematicsIntrinsic metric
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