Search results for "Metric differential"

showing 4 items of 24 documents

Bilateral denseness of the hyperbolic limit points of groups acting on metric spaces

1997

Pure mathematicsMetric spaceHyperbolic groupGeneral MathematicsInjective metric spaceMathematical analysisEquivalence of metricsMetric differentialFisher information metricIntrinsic metricMathematicsConvex metric spaceAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg
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Fixed point results on metric-type spaces

2014

Abstract In this paper we obtain fixed point and common fixed point theorems for self-mappings defined on a metric-type space, an ordered metric-type space or a normal cone metric space. Moreover, some examples and an application to integral equations are given to illustrate the usability of the obtained results.

Suzuki type mappingcone metric spaceGeneral MathematicsInjective metric spaceMathematical analysisGeneral Physics and Astronomycommon fixed pointPseudometric spaceFixed pointFixed-point propertyConvex metric spaceIntrinsic metricMetric spaceintegral equationfixed pointmetric-type spaceSettore MAT/05 - Analisi MatematicaMetric differentialMathematicsActa Mathematica Scientia
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Menger curvature and Lipschitz parametrizations in metric spaces

2005

Uniform continuityAlgebra and Number TheoryInjective metric spaceMathematical analysisMenger curvatureMetric mapLipschitz continuityMetric differentialMathematicsConvex metric spaceIntrinsic metricFundamenta Mathematicae
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Differential of metric valued Sobolev maps

2020

We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove that our notion is consistent with Kirchheim's metric differential when the source is a Euclidean space, and with the abstract differential provided by the first author when the target is $\mathbb{R}$.

metric measure spacesPure mathematicsFunction spaces; Metric measure spaces; Sobolev spaces01 natural sciencesMetric measure spacesfunction spacesSettore MAT/05 - Analisi Matematica0103 physical sciencesFOS: MathematicsTrigonometric functions0101 mathematicsMathematicsEuclidean space010102 general mathematicsTangentmetriset avaruudetFunctional Analysis (math.FA)Mathematics - Functional AnalysisSobolev spaceMetric spaceSobolev spacesFunction spaces010307 mathematical physicsfunktionaalianalyysiMetric differentialAnalysisJournal of Functional Analysis
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