6533b83afe1ef96bd12a70d2
RESEARCH PRODUCT
Metric or partial metric spaces endowed with a finite number of graphs: a tool to obtain fixed point results
Calogero VetroFrancesca Vetrosubject
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 metricdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-03-01 |