Search results for "Weakly Compatible Map"

showing 5 items of 15 documents

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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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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Common fixed point results on quasi-Banach spaces and integral equations

2013

In this paper we obtain fixed and common fixed point theorems for self-mappings defined on a closed and convex subset C of a quasi-Banach space. We give also a constructive method for finding the common fixed points of the involved mappings. As an application we obtain a result of the existence of solutions of integral equations.

Quasi-Banach space metric-type space common fixed point weakly compatible mappings integral equations.Pure mathematicsSettore MAT/05 - Analisi MatematicaGeneral MathematicsMathematical analysisBanach spaceCommon fixed pointFunctional integrationLp spaceC0-semigroupFixed-point propertyIntegral equationMathematicsGeorgian Mathematical Journal
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Fixed point results in cone metric spaces

2010

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

contractive type mappingpoint of coincidenceSettore MAT/05 - Analisi Matematicacommon fixed pointweakly compatible mappingcommuting mappingCoincidence pointcone metric space.
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Some fixed point theorems for occasionally weakly compatible mappings in probabilistic semi-metric spaces

2009

We prove some common fixed point theorems in probabilistic semi-metric spaces for occasionally weakly compatible mappings satisfying a generalized contractive condition. We give also results of common fixed point for mappings satisfying a condition of integral type.

semi-metric spacesSettore MAT/05 - Analisi MatematicaOccasionally weakly compatible mappingcommon fixed point theorem
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