Search results for "Partially ordered set"

showing 3 items of 23 documents

Fixed point results for weak contractive mappings in ordered K-metric spaces

2012

In this paper, we derive new coincidence and common fixed point theorems for self-maps satisfying a weak contractive condition in an ordered K-metric space. As application, the obtained results are used to prove an existence theorem of solutions of a nonlinear integral equation.

Settore MAT/05 - Analisi MatematicaFixed point partially ordered set cone metric space weak contraction integral equation
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Reassessing Accuracy Rates of Median Decisions

2007

We show how Bruno de Finetti''s fundamental theorem of prevision has computable applications in statistical problems that involve only partial information. Specifically, we assess accuracy rates for median decision procedures used in the radiological diagnosis of asbestosis. Conditional exchangeability of individual radiologists'' diagnoses is recognized as more appropriate than independence which is commonly presumed. The FTP yields coherent bounds on probabilities of interest when available information is insufficient to determine a complete distribution. Further assertions that are natural to the problem motivate a partial ordering of conditional probabilities, extending the computation …

Statistics and ProbabilityFOS: Computer and information sciencesFundamental theorem of previsionComputer scienceGeneral MathematicsComputationSpecificity.Quadratic programmingStatistics - ApplicationsMedical diagnosiSensitivityLinear programmingProbability boundApplications (stat.AP)Second opinionQuadratic programmingMedical diagnosisIndependence (probability theory)Fundamental theoremAsbestosiConditional probabilityDistribution (mathematics)ExchangeabilityPredictivevalueStatistics Probability and UncertaintyPartially ordered setCoherenceMathematical economics
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Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces

2011

The purpose of this paper is to present some fixed point theorems for T -weakly isotone increasing mappings which satisfy a generalized nonlinear contractive condition in complete ordered metric spaces. As application, we establish an existence theorem for a solution of some integral equations.

partially ordered setPure mathematicsweakly contractive conditionExistence theoremFixed-point theoremFixed pointFixed pointFixed-point propertyComplete metric spaceComputer Science ApplicationsCombinatoricsMetric spaceSettore MAT/05 - Analisi Matematicacomplete metric spaceModelling and SimulationModeling and Simulationaltering distance functionPartially ordered setCoincidence pointMathematicsMathematical and Computer Modelling
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