Search results for "ANALISI"

showing 10 items of 1536 documents

Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces

2012

Abstract We prove some coincidence and common fixed point results for three mappings satisfying a generalized weak contractive condition in ordered partial metric spaces. As application of the presented results, we give a unique fixed point result for a mapping satisfying a weak cyclical contractive condition. We also provide some illustrative examples. MSC:47H10, 54H25.

Discrete mathematicscyclic weak (ψϕ)-contractionApplied Mathematicspartial metric spacecommon fixed pointFixed pointcompatible mappingCoincidenceweakly increasing mappingsMetric spacecoincidence pointDifferential geometrySettore MAT/05 - Analisi MatematicaCommon fixed pointGeometry and TopologyCoincidence pointTopology (chemistry)MathematicsFixed Point Theory and Applications
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Elements with square roots in compact groups

2010

The probability that a randomly chosen element has a square root is studied in [1, 2, 8] in the finite case. Here we deal with the infinite case.

Discrete mathematicselements with square rootFunctional square rootGeneral MathematicsprobabilityFinite casecompact groupsUnit squareCombinatoricsSettore MAT/02 - AlgebraSquare rootSettore MAT/05 - Analisi MatematicaSettore MAT/03 - GeometriaElement (category theory)Square numberMathematics
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A Coupled Fixed Point Theorem in Fuzzy Metric Space Satisfying ϕ-Contractive Condition

2013

The intent of this paper is to prove a coupled fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings, satisfyingϕ-contractive conditions in a fuzzy metric space. We also furnish some illustrative examples to support our results.

Discrete mathematicslcsh:Computer softwarecoupled fixed pointControl and OptimizationArticle SubjectFixed-point theoremFuzzy metric spaceComputational Mathematicslcsh:QA76.75-76.765Settore MAT/05 - Analisi MatematicaControl and Systems Engineeringfuzzy metric spacelcsh:Electrical engineering. Electronics. Nuclear engineeringMetric differentiallcsh:TK1-9971MathematicsAdvances in Fuzzy Systems
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WQ*-algebras of measurable operators

2012

Every C*-algebra \(\mathfrak{A}\) has a faithful *-representation π in a Hilbert space \(\mathcal{H}\). Consequently it is natural to pose the following question: under which conditions, the completion of a C*-algebra in a weaker than the given one topology, can be realized as a quasi *-algebra of operators? The present paper presents the possibility of extending the well known Gelfand — Naimark representation of C*-algebras to certain Banach C*-modules.

Discrete mathematicsmonotone closedPure mathematicsApplied MathematicsGeneral MathematicsHilbert spacemodular representation.C*-algebraCQ*-algebrasymbols.namesakeSettore MAT/05 - Analisi MatematicaGelfand–Naimark theoremsymbolsCQ*-algebra; WQ*-algebra; Monotone closed; Modular representationlcsh:QAlgebra over a fieldlcsh:ScienceRepresentation (mathematics)Topology (chemistry)WQ*-algebraMathematicsIndian Journal of Pure and Applied Mathematics
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Fixed point theory for cyclic weak ϕ-contraction in fuzzy metric spaces

2012

In this paper, we introduce cyclic weak $\phi-$contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.

Discrete mathematicsnon-Archimedean fuzzy metric spacFuzzy metric spaceInjective metric spacelcsh:QA299.6-433T-normEquivalence of metricslcsh:Analysiscyclic weak $phi-$contractionIntrinsic metricConvex metric spaceMetric spaceSettore MAT/05 - Analisi Matematicacyclic representationMetric mapFuzzy metric space cyclic representation cyclic weak ϕ-contraction non-Archimedean fuzzy metric spaceUltrametric spaceMathematics
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Set-valued mappings in partially ordered fuzzy metric spaces

2014

Abstract In this paper, we provide coincidence point and fixed point theorems satisfying an implicit relation, which extends and generalizes the result of Gregori and Sapena, for set-valued mappings in complete partially ordered fuzzy metric spaces. Also we prove a fixed point theorem for set-valued mappings on complete partially ordered fuzzy metric spaces which generalizes results of Mihet and Tirado. MSC:54E40, 54E35, 54H25.

Discrete mathematicspartially ordered setApplied MathematicsInjective metric spaceset-valued mappingT-normFixed-point propertyConvex metric spaceLeast fixed pointcoincidence pointfixed pointSettore MAT/05 - Analisi MatematicaDiscrete Mathematics and CombinatoricsDomain theoryfuzzy metric spaceFilter (mathematics)Coincidence pointAnalysisMathematics
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Wavelet-based efficient simulation of electromagnetic transients in a lightning protection system

2003

In this paper, a wavelet-based efficient simulation of electromagnetic transients in a lightning protection systems (LPS) is presented. The analysis of electromagnetic transients is carried out by employing the thin-wire electric field integral equation in frequency domain. In order to easily handle the boundary conditions of the integral equation, semiorthogonal compactly supported spline wavelets, constructed for the bounded interval [0,1], have been taken into account in expanding the unknown longitudinal currents. The integral equation is then solved by means of the Galerkin method. As a preprocessing stage, a discrete wavelet transform is used in order to efficiently compress the Fouri…

Discrete wavelet transformCooley–Tukey FFT algorithmComputer scienceFast Fourier transformElectric-field integral equationSettore MAT/08 - Analisi Numericasymbols.namesakeWaveletWaveformBoundary value problemElectrical and Electronic EngineeringElectromagnetic transient analysiGalerkin methodIntegral equationContinuous wavelet transformMathematical analysisWavelet transformIntegral equationElectronic Optical and Magnetic MaterialsSettore ING-IND/31 - ElettrotecnicaSpline (mathematics)Fourier transformFrequency domainsymbolsWavelet transformHarmonic wavelet transformIEEE Transactions on Magnetics
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Regularization of optical flow with M-band wavelet transform

2003

The optical flow is an important tool for problems arising in the analysis of image sequences. Flow fields generated by various existing solving techniques are often noisy and partially incorrect, especially near occlusions or motion boundaries. Therefore, the additional information on the scene gained from a sequence of images is usually worse. In this paper, discrete wavelet transform has been adopted in order to enhance the reliability of optical flow estimation. A generalization of the well-known dyadic orthonormal wavelets to the case of the dilation scale factor M > 2 with N vanishing moments has been used, and it has proved to be a useful regularizing tool. The advantages in the comp…

Discrete wavelet transformM-band waveletLifting schemebusiness.industryStationary wavelet transformOptical flowComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONWavelet transformWavelet packet decompositionApplied MathematicSettore MAT/08 - Analisi NumericaComputational MathematicsWaveletComputational Theory and MathematicsMultiresolution analysis (MRA)Modeling and SimulationModelling and SimulationComputational MathematicComputer visionArtificial intelligenceHarmonic wavelet transformFast wavelet transformbusinessAlgorithmMathematicsComputers & Mathematics with Applications
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A Mesh-free Particle Method for Transient Full-wave Simulation

2007

A mesh-free particle method is presented for electromagnetic (EM) transient simulation. The basic idea is to obtain numerical solutions for the partial differential equations describing the EM problem in time domain, by using a set of particles, considered as spatial interpolation points of the field variables, arbitrarily placed in the problem domain and by avoiding the use of a regular mesh. Irregular problems geometry with diffused non-homogeneous media can be modeled only with an initial set of arbitrarily distributed particles. The time dependence is accounted for with an explicit finite difference scheme. Moreover the particle discretization can be improved during the process time ste…

DiscretizationComputational complexity theoryElectromagnetic (EM) transient analysiComputer scienceNumerical methodMultivariate interpolationReduction (complexity)Settore MAT/08 - Analisi NumericaElectromagnetic waveFull waveTime domainElectrical and Electronic EngineeringPhysicsPartial differential equationMathematical analysisFinite difference methodComputer simulationPartial differential equationsMesh freeInterpolationElectronic Optical and Magnetic MaterialsComputational complexitySmoothed particle interpolationSettore ING-IND/31 - ElettrotecnicaParticleComputational electromagneticsTransient (oscillation)Mesh-free particle methodInterpolation2006 12th Biennial IEEE Conference on Electromagnetic Field Computation
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Perimeter symmetrization of some dynamic and stationary equations involving the Monge-Ampère operator

2017

We apply the perimeter symmetrization to a two-dimensional pseudo-parabolic dynamic problem associated to the Monge-Ampere operator as well as to the second order elliptic problem which arises after an implicit time discretization of the dynamical equation. Curiously, the dynamical problem corresponds to a third order operator but becomes a singular second order parabolic equation (involving the 3-Laplacian operator) in the class of radially symmetric convex functions. Using symmetrization techniques some quantitative comparison estimates and several qualitative properties of solutions are given.

DiscretizationMathematical analysisPerimeter symmetrizationPseudoparabolic dynamic Monge-Ampère equationThird orderOperator (computer programming)Dynamic problemSettore MAT/05 - Analisi MatematicaTwo-dimensional domainSymmetrizationOrder (group theory)AmpereConvex functionMathematics
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