Search results for "Coin"

showing 10 items of 612 documents

Fixed points for Geraghty-Contractions in partial metric spaces

2015

We establish some fixed point theorems for mappings satisfying Geraghty-type contractive conditions in the setting of partial metric spaces and ordered partial metric spaces. Presented theorems extend and generalize many existing results in the literature. Examples are given showing that these results are proper extensions of the existing ones. c ©2014 All rights reserved.

Pure mathematicsAlgebra and Number TheoryInjective metric spaceEquivalence of metricsCoincidence point partial metric space ordered partial metric space Geraghty-type contractive condition fixed point.TopologyIntrinsic metricConvex metric spaceUniform continuityMetric spaceSettore MAT/05 - Analisi MatematicaFréchet spaceMetric mapAnalysisMathematicsJournal of Nonlinear Sciences and Applications
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Coupled coincidence points for compatible mappings satisfying mixed monotone property

2012

We establish coupled coincidence and coupled fixed point results for a pair of mappings satisfying a compatibility hypothesis in partially ordered metric spaces. An example is given to illustrate our obtained results.

Pure mathematicsAlgebra and Number TheoryMonotone polygonProperty (philosophy)Settore MAT/05 - Analisi MatematicaCompatible mappings coupled fixed point mixed monotone property partially ordered setAnalysisCoincidenceMathematicsJournal of Nonlinear Sciences and Applications
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Some coincidence and periodic points results in a metric space endowed with a graph and applications

2015

The purpose of this paper is to obtain some coincidence and periodic points results for generalized $F$-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.

Pure mathematicsAlgebra and Number TheoryPeriodic sequencePeriodic pointCoincidence point nonlinear integral equation periodic point.Type (model theory)TopologyNonlinear integral equationnonlinear integral equationCoincidenceCoincidence pointMetric spaceperiodic point54H25Settore MAT/05 - Analisi MatematicaGraph (abstract data type)05C40Coincidence pointAnalysis47H10Mathematics
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Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application

2014

Abstract We prove some coincidence and common fixed point theorems for two hybrid pairs of mappings in Menger spaces satisfying a strict contractive condition. An illustrative example is given to support the genuineness of our extension besides deriving some related results. Then, we establish the corresponding common fixed point theorems in metric spaces. Finally, we utilize our main result to obtain the existence of a common solution for a system of Volterra type integral equations.

Pure mathematicsApplied MathematicsMathematical analysisProbabilistic logicExtension (predicate logic)Type (model theory)Common fixed pointIntegral equationCoincidenceComputational MathematicsMetric spaceMenger's theoremSettore MAT/05 - Analisi MatematicaMenger spacetangential propertyCoincidence pointVolterra type integral equation.MathematicsApplied Mathematics and Computation
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Cyclic admissible contraction and applications to functional equations in dynamic programming

2015

In this paper, we introduce the notion of T-cyclic $( \alpha ,\beta ) $ -contraction and give some common fixed point results for this type of contractions. The presented theorems extend, generalize, and improve many existing results in the literature. Several examples and applications to functional equations arising in dynamic programming are also given in order to illustrate the effectiveness of the obtained results.

Pure mathematicsApplied Mathematicsfunctional equationsOrder (ring theory)common fixed pointT-cyclic (alphabeta)-admissible mappingType (model theory)weakly compatible mappingAlgebraDynamic programmingAlpha (programming language)point of coincidenceDifferential geometrySettore MAT/05 - Analisi MatematicaCommon fixed pointGeometry and TopologyCoincidence pointTopology (chemistry)Mathematics
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Weakly \varphi-pairs and common fixed points in cone metric spaces

2009

In this paper we introduce a weak contractive condition, called weakly \varphi-pair, for two mappings in the framework of cone metric spaces and we prove a theorem which ensures existence and uniqueness of common fixed points for such mappings. Also we obtain a result on points of coincidence. These results extend and generalize well-known comparable results in the literature.

Pure mathematicsGeneral MathematicsInjective metric spaceMathematical analysisCoincidence pointsFixed pointConvex metric spaceIntrinsic metricMetric spaceCommon fixed pointCone (topology)Settore MAT/05 - Analisi MatematicaWeakly \varphi-pairCone metric spaceUniquenessCoincidence pointMathematics
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Best proximity point results for modified α-proximal C-contraction mappings

2014

First we introduce new concepts of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric spaces. Finally, as consequences of these results, we deduce best proximity point theorems in metric spaces endowed with a graph and in partially ordered metric spaces. Moreover, we present an example and some fixed point results to illustrate the usability of the obtained theorems. MSC:46N40, 46T99, 47H10, 54H25.

Pure mathematicsInjective metric spaceApplied Mathematicsmetric spacebest proximity pointFixed pointTopologyConvex metric spaceIntrinsic metricLeast fixed pointMetric spacefixed pointSettore MAT/05 - Analisi MatematicaMetric mapGeometry and TopologyCoincidence pointMathematicsFixed Point Theory and Applications
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Coupled common fixed point theorems in partially ordered G-metric spaces for nonlinear contractions

2014

The aim of this paper is to prove coupled coincidence and coupled common fixed point theorems for a mixed $g$-monotone mapping satisfying nonlinear contractive conditions in the setting of partially ordered $G$-metric spaces. Present theorems are true generalizations of the recent results of Choudhury and Maity [Math. Comput. Modelling 54 (2011), 73-79], and Luong and Thuan [Math. Comput. Modelling 55 (2012) 1601-1609].

Pure mathematicsPartially ordered setG-metric spacemixed monotone mappingslcsh:Mathematicslcsh:QA1-939coupled coincidence pointMetric spaceNonlinear systemcoupled common fixed pointSettore MAT/05 - Analisi MatematicaCommon fixed pointPartially ordered set $G$-metric space coupled coincidence point coupled common fixed point mixed monotone mappingsMathematicsMathematica Moravica
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Some Common Fixed Point Results in Cone Metric Spaces

2009

We prove a result on points of coincidence and common fixed points for three self-mappings satisfying generalized contractive type conditions in cone metric spaces. We deduce some results on common fixed points for two self-mappings satisfying contractive type conditions in cone metric spaces. These results generalize some well-known recent results.

Pure mathematicsT57-57.97QA299.6-433Applied mathematics. Quantitative methodsInjective metric spaceApplied MathematicsMathematical analysisEquivalence of metricsFixed pointConvex metric spaceIntrinsic metricMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Metric mapGeometry and TopologyPoints of coincidence common fixed points contractive mappingsAnalysisMathematicsFixed Point Theory and Applications
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On coincidence and common fixed point theorems of eight self-maps satisfying an FM-contraction condition

2019

In this paper, a new type of contraction for several self-mappings of a metric space, called FM-contraction, is introduced. This extends the one presented for a single map by Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012:94, 2012]. Coincidence and common fixed point of eight self mappings satisfying FM-contraction conditions are established via common limit range property without exploiting the completeness of the space or the continuity of the involved maps. Coincidence and common fixed point of eight self-maps satisfying FM-contraction conditions via the common property (E.A.) are also studied. Our results generaliz…

Pure mathematicsWeakly compatibleApplied Mathematicsweakly compatible010102 general mathematicscommon property (E.A.)lcsh:QA299.6-433common fixed pointlcsh:AnalysisFixed point01 natural sciencesCoincidence010101 applied mathematicsMetric spacecoincidence pointcommon (CLR(AB)(ST)) propertyCommon fixed pointCommon property0101 mathematicsCoincidence pointContraction (operator theory)AnalysisMathematicsNonlinear Analysis
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