Search results for "Compatible mappings"

showing 8 items of 8 documents

Common fixed point theorems of integral type for OWC mappings under relaxed condition

2017

In this paper, we prove a common fixed point theorem for a pair of occasionally weakly compatible (owc) self mappings satisfying a mixed contractive condition of integral type without using the triangle inequality. We prove also analogous results for two pairs of owc self mappings by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement many results existing in the recent literature. Finally, we give an application of our results in dynamic programming.

Common fixed points Weakly compatible mappings Occasionally weakly compatible mappings Contractive condition of integral type Symmetric spacesSettore MAT/05 - Analisi Matematica
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Some common fixed point theorems for owc mappings with applications

2013

Starting from the setting of fuzzy metric spaces, we give some new common fixed point theorems for a pair of occasionally weakly compatible (owc) self-mappings satisfying a mixed contractive condition. In proving our results, we do not need to use the triangular inequality. Also we obtain analogous results for two pairs of owc self-mappings by assuming symmetry only on the set of points of coincidence. These results unify, extend and complement some results existing in the literature. Finally, we give some applications of our results.

Common fixed points functional equations fuzzy metric spaces occasionally weakly compatible mappings product spaceSettore MAT/05 - Analisi Matematica
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Unified Metrical Common Fixed Point Theorems in 2-Metric Spaces via an Implicit Relation

2013

We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.

Discrete mathematicsLeast fixed point2-metric space common property (E.A) common limit range property weakly compatible mappings implicit relations fixed point.Metric spaceSchauder fixed point theoremArticle SubjectSettore MAT/05 - Analisi MatematicaFixed-point theoremType (model theory)Fixed-point propertyCoincidence pointFinite setMathematicsJournal of Operators
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On Branciari’s theorem for weakly compatible mappings

2010

AbstractIn a recent paper B. Samet and H. Yazidi [B. Samet, H. Yazidi, An extension of Banach fixed point theorem for mappings satisfying a contractive condition of integral type, Ital. J. Pure Appl. Math. (in press)] have obtained an interesting theorem for mappings satisfying a contractive condition of integral type. The aim of this note is to present a generalization of their main result.

Discrete mathematicsWeakly compatibleGeneralizationBanach fixed-point theoremApplied MathematicsFixed-point theoremWeakly compatible mappingsExtension (predicate logic)Type (model theory)Common fixed pointContractive condition of integral typeCommon fixed point Weakly compatible mappings Contractive condition of integral typeSettore MAT/05 - Analisi MatematicaCommon fixed pointMathematicsApplied Mathematics Letters
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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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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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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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Coupled fixed point results in cone metric spaces for -compatible mappings

2011

Abstract In this paper, we introduce the concepts of -compatible mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F, G : X × X → X, where (X, d) is a cone metric space. We establish b-coupled coincidence and b-common coupled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in the literature, in particular the recent results of Abbas et al. [Appl. Math. Comput. 217, 195-202 (2010)]. Some examples are given to illustrate our obtained results. An application to the study of existence of solutions for a system of non-linear integral equations is also considered. 2010 Mathematics …

b-common coupled fixed pointT57-57.97QA299.6-433<inline-formula> <graphic file="1687-1812-2011-27-i1.gif"/> </inline-formula>-compatible mappingsApplied mathematics. Quantitative methodsb-coupled coincidence pointcone metric space; integral equationAnalysisFixed Point Theory and Applications
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