Search results for " Weakly compatible"

showing 9 items of 9 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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Semi-compatible and reciprocally continuous maps in weak non-Archimedean Menger PM-spaces

2012

In this paper, we introduce semi-compatible maps and reciprocally continuous maps in weak non-Archimedean PM-spaces and establish a common fixed point theorem for such maps. Moreover, we show that, in the context of reciprocal continuity, the notions of compatibility and semi-compatibility of maps become equivalent. Our result generalizes several fixed point theorems in the sense that all maps involved in the theorem can be discontinuous even at the common fixed point.

Discrete mathematicsNon-Archimedean Menger Space Compatible Semi compatible Weakly compatible Reciprocally continuousWeakly compatibleSettore MAT/05 - Analisi MatematicaGeneral MathematicsCompatibility (mechanics)Common fixed pointFixed-point theoremCommon fixed point theoremReciprocalMathematics
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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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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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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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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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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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