Search results for "coincidence point"

showing 10 items of 64 documents

Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition

2008

We introduce a new generalized contractive condition for four mappings in the framework of metric space. We give some common fixed point results for these mappings and we deduce a fixed point result for weakly compatible mappings satisfying a contractive condition of integral type.

Discrete mathematicsWeakly compatibleArticle SubjectContractive MapsCommon Fixed Pointlcsh:MathematicsType (model theory)Fixed pointlcsh:QA1-939Metric spaceMathematics (miscellaneous)Settore MAT/05 - Analisi MatematicaCommon fixed pointWeakly Compatible MapCoincidence pointMathematicsInternational Journal of Mathematics and Mathematical Sciences
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Common fixed point theorems for families of occasionally weakly compatible mappings

2011

We prove some common fixed point theorems in probabilistic semi-metric spaces for families of occasionally weakly compatible mappings. We also give a common fixed point theorem for mappings satisfying an integral-type implicit relation.

Discrete mathematicsWeakly compatibleRelation (database)010102 general mathematicsProbabilistic logicOccasionally weakly compatible mappingProbabilistic metric spaceCommon fixed point01 natural sciencesProbabilistic metric spaceComputer Science Applications010101 applied mathematicsLeast fixed pointSettore MAT/05 - Analisi MatematicaModelling and SimulationModeling and SimulationCommon fixed point0101 mathematicsCoincidence pointCommon fixed point theoremMathematicsMathematical and Computer Modelling
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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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Common fixed points of mappings satisfying implicit contractive conditions

2012

In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit relation. Our results unify, extend, generalize many related common fixed point theorems from the literature. Mathematics Subject Classification (2000): 47H10, 54H25.

Discrete mathematicsimplicit relationApplied MathematicsFixed-point theoremcontractioncommon fixed pointFixed pointFixed-point propertyLeast fixed pointMetric spaceSchauder fixed point theoremcoincidence pointMathematics Subject Classificationfixed pointGeometry and TopologySettore MAT/03 - GeometriaCoincidence pointMathematics
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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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Existence and uniqueness of solution to several kinds of differential equations using the coincidence theory

2015

The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, this type of results will be applied to obtain the existence of solutions for some classes of ordinary differential equations. Ministerio de Economía y Competitividad Junta de Andalucía

Equilibrium point47H09Pure mathematics34A10Differential equationGeneral MathematicsMathematical analysisBanach spaceFixed-point theoremdifferential equationsfractional derivative34A08Fixed pointUlam-Hyers stabilityfixed pointOrdinary differential equationUniquenesscoincidence problemCoincidence pointMathematics
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Comments on the paper "COINCIDENCE THEOREMS FOR SOME MULTIVALUED MAPPINGS" by B. E. RHOADES, S. L. SINGH AND CHITRA KULSHRESTHA

2011

The aim of this note is to point out an error in the proof of Theorem 1 in the paper entitled “Coincidence theorems for some multivalued mappings” by B. E. Rhoades, S. L. Singh and Chitra Kulshrestha [Internat. J. Math. & Math. Sci., 7 (1984), 429-434], and to indicate a way to repair it.

Hausdorff distanceSettore MAT/05 - Analisi MatematicaMultivalued mappingCoincidence point
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Nonlinear contractions involving simulation functions in a metric space with a partial order

2015

Very recently, Khojasteh, Shukla and Radenovic [F. Khojasteh, S. Shukla, S. Radenovic, Filomat, 29 (2015), 1189-1194] introduced the notion of Z-contraction, that is, a nonlinear contraction involving a new class of mappings namely simulation functions. This kind of contractions generalizes the Banach contraction and unifies several known types of nonlinear contractions. In this paper, we consider a pair of nonlinear operators satisfying a nonlinear contraction involving a simulation function in a metric space endowed with a partial order. For this pair of operators, we establish coincidence and common fixed point results. As applications, several related results in fixed point theory in a …

Metric spaceNonlinear systemAlgebra and Number TheorySettore MAT/05 - Analisi MatematicaMathematical analysispartial order nonlinear contraction coincidence point common fixed point simulation functionOrder (group theory)AnalysisMathematicsJournal of Nonlinear Sciences and Applications
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Some common fixed point results for weakly compatible mappings in cone metric type space

2013

In this paper we consider cone metric type spaces which are introduced as a generalization of symmetric and metric spaces by Khamsi and Hussain in 2010. Then we prove several common fixed point for weakly compatible mappings in cone metric type spaces. All results are proved in the settings of a solid cone, without the assumption of continuity of the mappings.

Numerical AnalysisPure mathematicsControl and OptimizationAlgebra and Number TheoryWeakly compatibleType (model theory)Space (mathematics)Cone (topology)Settore MAT/05 - Analisi MatematicaMetric (mathematics)Common fixed pointDiscrete Mathematics and Combinatoricscone metric type space common fixed point coincidence point weakly compatible mappings solid coneAnalysisMathematics
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An existence result for a Neumann problem

2015

The main result of this paper deals with the existence of at least one positive solution for a second order Neumann boundary value problem. Such a result is obtained by using an abstract coincidence point theorem that allows to get our conclusion under non standard conditions on the nonlinearity.

Positive solutionSecond-order Neumann problemApplied MathematicsAnalysiFixed pointExistence resultCoincidence pointDiscrete Mathematics and Combinatoric
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