Search results for "partial Hausdorff metric"

showing 3 items of 3 documents

Common Fixed points for multivalued generalized contractions on partial metric spaces

2013

We establish some common fixed point results for multivalued mappings satisfying generalized contractive conditions on a complete partial metric space. The presented theorems extend some known results to partial metric spaces. We motivate our results by some given examples and an application for finding the solution of a functional equation arising in dynamic programming.

Discrete mathematicsAlgebra and Number TheoryApplied MathematicsInjective metric spaceFubini–Study metricIntrinsic metricConvex metric spaceComputational MathematicsMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Geometry and TopologyCommon fixed point partial metric space partial Hausdorff metric weak contraction.Metric differentialAnalysisFisher information metricMathematics
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Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces

2012

Abstract In this paper, we introduce the concept of a partial Hausdorff metric. We initiate study of fixed point theory for multi-valued mappings on partial metric space using the partial Hausdorff metric and prove an analogous to the well-known Nadlerʼs fixed point theorem. Moreover, we give a homotopy result as application of our main result.

Discrete mathematicsNadlerʼs fixed point theoremPure mathematicsInjective metric spacePartial Hausdorff metricMulti-valued mappingsNadler’s fixed point theoremMulti-valued mappingConvex metric spaceIntrinsic metricMetric spaceHausdorff distanceSettore MAT/05 - Analisi MatematicaHausdorff dimensionHausdorff measureGeometry and TopologyMetric differentialMathematics
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Some fixed point results for multi-valued mappings in partial metric spaces

2013

Abstract In this paper, we obtain some fixed point results for multi-valued mappings in partial metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. An example is also included to illustrate the main result in the paper. MSC:46S40, 47H10, 54H25.

Discrete mathematicsPure mathematicscompleteness.Injective metric spaceApplied MathematicsIntrinsic metricConvex metric spaceMetric spacefixed pointSettore MAT/05 - Analisi Matematicamulti-valued mappingMetric (mathematics)partial Hausdorff metricMetric mapGeometry and TopologyMetric differentialCoincidence pointMathematics
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