6533b7d7fe1ef96bd1269145
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From metric spaces to partial metric spaces
Bessem SametCalogero VetroFrancesca Vetrosubject
Pure mathematicsInjective metric spaceApplied MathematicsMathematical analysismetric spacepartial metric spaceEquivalence of metricsIntrinsic metricConvex metric spaceMetric spaceUniform continuityfixed pointFréchet spaceSettore MAT/05 - Analisi MatematicaMetric mapGeometry and TopologyMathematicsdescription
Motivated by experience from computer science, Matthews (1994) introduced a nonzero self-distance called a partial metric. He also extended the Banach contraction principle to the setting of partial metric spaces. In this paper, we show that fixed point theorems on partial metric spaces (including the Matthews fixed point theorem) can be deduced from fixed point theorems on metric spaces. New fixed point theorems on metric spaces are established and analogous results on partial metric spaces are deduced. MSC:47H10, 54H25.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-08 | Fixed Point Theory and Applications |