Search results for "CONTRACTIONS"

showing 8 items of 38 documents

Harnack and Shmul'yan pre-order relations for Hilbert space contractions

2015

We study the behavior of some classes of Hilbert space contractions with respect to Harnack and Shmul'yan pre-orders and the corresponding equivalence relations. We give some conditions under which the Harnack equivalence of two given contractions is equivalent to their Shmul'yan equivalence and to the existence of an arc joining the two contractions in the class of operator-valued contractive analytic functions on the unit disc. We apply some of these results to quasi-isometries and quasi-normal contractions, as well as to partial isometries for which we show that their Harnack and Shmul'yan parts coincide. We also discuss an extension, recently considered by S.~ter~Horst [\emph{J. Operato…

Pure mathematicsGeneral Mathematics[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]01 natural sciencesasymptotic limitpartial isometriessymbols.namesakeFOS: MathematicsEquivalence relation0101 mathematicsEquivalence (formal languages)Toeplitz operatorsMathematicsPartial isometry010102 general mathematicsClass functionHilbert spacequasi normal operators16. Peace & justiceHarnack pre-orderFunctional Analysis (math.FA)010101 applied mathematicsMathematics - Functional Analysis47A10 47A45Hilbert space contractionssymbolsShmul'yan pre-orderAnalytic function
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Safety and feasibility of a neuromuscular electrical stimulation chronaxie-based protocol in critical ill patients: A prospective observational study

2017

International audience; Purpose: The aim of this study was to evaluate the safety and feasibility of a neuromuscular electrical stimulation (NMES) protocol based on neuromuscular excitability and applied in numerous muscle groups of critical ill patients.Materials and methods: We performed a prospective observational study using an NMES applied daily and bilaterally into 5 muscle groups in lower limbs for 3 consecutive days. The characteristics of NMES were 90 contractions per muscle, pulse width equal to chronaxie, and a pulse frequency of 100 Hz. We assessed safety with central venous oxygen saturation, serum lactate, and creatine phosphokinase measurements. To evaluate feasibility, we re…

AdultMalecontractionsmedicine.medical_specialtyChronaxieCritical CareElectric Stimulation TherapyStimulation030204 cardiovascular system & hematologyCritical Care and Intensive Care Medicineknee extensor muscles03 medical and health sciences0302 clinical medicine[ SDV.MHEP ] Life Sciences [q-bio]/Human health and pathologymedicinePulse frequencyHumanscritical illnessskeletal-muscleLactic AcidProspective StudiesvoluntaryMuscle SkeletalAPACHEIntensive care unit-acquired weaknessbiologyacquired weaknessbusiness.industryRehabilitationMuscle weakness030208 emergency & critical care medicinethicknessNeuromuscular stimulationMale patientIntensive careAnesthesiarhabdomyolysisPhysical therapybiology.proteinFemaleObservational studyCreatine kinaseelectromyostimulationSerum lactateSafetystrengthbusinessChronaxyMuscle ContractionJournal of Critical Care
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Fixed point results for F-contractive mappings of Hardy-Rogers-type

2014

Recently, Wardowski introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type for self-mappings on complete metric spaces or complete ordered metric spaces. Moreover, an example is given to illustrate the usability of the obtained results.

Discrete mathematicsGeneral MathematicsInjective metric spaceMetric spaces ordered metric spaces fixed points F-contractions of Hardy-Rogers-typeFixed-point theoremFixed pointFixed-point propertyConvex metric spaceUniform continuitySettore MAT/05 - Analisi MatematicaFréchet spaceContraction mappingMathematicsFilomat
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Fixed point results for α-implicit contractions with application to integral equations

2016

Recently, Aydi et al. [On fixed point results for α-implicit contractions in quasi-metric spaces and consequences, Nonlinear Anal. Model. Control, 21(1):40–56, 2016] proved some fixed point results involving α-implicit contractive conditions in quasi-b-metric spaces. In this paper we extend and improve these results and derive some new fixed point theorems for implicit contractions in ordered quasi-b-metric spaces. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.

fixed pointsApplied Mathematics010102 general mathematicsMathematical analysisimplicit contractionslcsh:QA299.6-433Alpha (ethology)implicit contractionlcsh:AnalysisFixed point01 natural sciencesIntegral equation010101 applied mathematicsfixed pointSettore MAT/05 - Analisi Matematicaquasi-b-metric spacesSettore MAT/03 - Geometria0101 mathematicsAnalysisMathematicsNonlinear Analysis: Modelling and Control
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Does the origin of ablated premature ventricular contractions determine the level of left ventricular function improvement?

2020

Background: Premature ventricular contractions (PVCs) are associated with tachycardiomyopathy and high mortality rate. The treatment depends on the engaged ventricle. For PVCs originating from the right outflow tract (OT), radiofrequency catheter ablation (RFCA) is recommended (class IB‑R recommendation) in preference to pharmacotherapy. In those originating from the left ventricle, ablation is a class IIa B‑NR recommendation. Aims: The aim of the study was to assess the success of RFCA of PVCs based on arrhythmia origin. Methods: A total of 110 consecutive patients with monomorphic PVCs referred for ablation were enrolled and divided according to the site of ablation to the OT group and th…

medicine.medical_specialtymedicine.medical_treatmentHeart VentriclesCatheter ablationpremature ventricular contractionsVentricular Function LeftElectrocardiographyInterquartile rangeInternal medicinemedicineHumanstachycardiomyopathyAortic dissectionmedicine.diagnostic_testbusiness.industryMortality ratearrhythmia originOdds ratioAblationmedicine.diseaseVentricular Premature Complexesmedicine.anatomical_structureTreatment OutcomeVentricleCardiologyCatheter Ablationradiofrequency ablationCardiology and Cardiovascular MedicinebusinessElectrocardiographyKardiologia Polska
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Activation of human quadriceps femoris during isometric, concentric, and eccentric contractions.

2001

Maximal and submaximal activation level of the right knee-extensor muscle group were studied during isometric and slow isokinetic muscular contractions in eight male subjects. The activation level was quantified by means of the twitch interpolation technique. A single electrical impulse was delivered, whatever the contraction mode, on the femoral nerve at a constant 50° knee flexion (0° = full extension). Concentric, eccentric (both at 20°/s velocity), and isometric voluntary activation levels were then calculated. The mean activation levels during maximal eccentric and maximal concentric contractions were 88.3 and 89.7%, respectively, and were significantly lower ( P < 0.05) with respe…

AdultMalePhysiologyRestEccentric contractionsIsometric exerciseConcentricMuscular ContractionsIsometric ContractionPhysiology (medical)HumansMedicineEccentricKneeMuscle SkeletalLegbusiness.industryTwitch interpolationAnatomyElectric StimulationTorquemedicine.symptomMuscle groupbusinessMuscle ContractionMuscle contraction
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Common fixed points in ordered Banach spaces

2008

In this paper we introduce the notion of g-weak isotone mappings in an ordered Banach space and we extend some common fixed point theorems of Dhage, O’Regan and Agarwal

ordered Banach spaces weak contractions common fixed pointsSettore MAT/05 - Analisi Matematica
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Fixed points for weak $\varphi$-contractions on partial metric spaces

2011

In this paper, following [W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003) 79-89], we give a fixed point result for cyclic weak $\varphi$-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak $\varphi$-contractions is also given.

Settore MAT/05 - Analisi MatematicaFixed points Partial metric space Weak cyclic $\varphi$-contractions.
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