Search results for "Generalized metric"

showing 5 items of 5 documents

On generalized weakly G-contraction mapping in G-metric spaces

2011

AbstractIn this paper, we establish some common fixed point results for two self-mappings f and g on a generalized metric space X. To prove our results we assume that f is a generalized weakly G-contraction mapping of types A and B with respect to g.

Generalized weakly G-contractionSettore MAT/05 - Analisi MatematicaGeneralized metric spacesCommon fixed point generalized weakly G-contraction generalized metric spacesCommon fixed point
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Common fixed points in generalized metric spaces

2012

Abstract We establish some common fixed point theorems for mappings satisfying a ( ψ , φ ) -weakly contractive condition in generalized metric spaces. Presented theorems extend and generalize many existing results in the literature.

Discrete mathematicsComputational MathematicsMetric spaceFixed-point iterationSettore MAT/05 - Analisi MatematicaApplied MathematicsGeneralized metric weakly contractive condition contraction of integral type fixed point common fixed points.Common fixed pointProduct metricFixed pointIntrinsic metricMathematicsConvex metric space
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Common fixed point results for three maps in G-metric spaces

2011

In this paper, we use the setting of generalized metric spaces to obtain common fixed point results for three maps. These results generalize several well known comparable results in the literature.

Pure mathematicsGeneral MathematicsInjective metric spaceProduct metricTopologyFixed-point propertyConvex metric spaceIntrinsic metricMetric spaceSchauder fixed point theoremSettore MAT/05 - Analisi MatematicaMetric mapCommon fixed point generalized metric spaceMathematicsFilomat
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Common fixed points for α-ψ-φ-contractions in generalized metric spaces

2014

We establish some common fixed point theorems for mappings satisfying an α-ψ-ϕcontractive condition in generalized metric spaces. Presented theorems extend and generalize manyexisting results in the literature.
 Erratum to “Common fixed points for α-ψ-φ-contractions in generalized metric spaces”
 In Example 1 of our paper [V. La Rosa, P. Vetro, Common fixed points for α-ψ-ϕcontractions in generalized metric spaces, Nonlinear Anal. Model. Control, 19(1):43–54, 2014] a generalized metric has been assumed. Nevertheless some mistakes have appeared in the statement. The aim of this note is to correct this situation.
  

Pure mathematicsApplied Mathematicslcsh:QA299.6-433common fixed pointlcsh:AnalysisFixed pointα-ψ-φ-contractive conditionMetric spacefixed pointSettore MAT/05 - Analisi Matematicaα-ψ-ϕ-contractive conditioncontraction of integral typegeneralized metric spaceAnalysisMathematicsNonlinear Analysis: Modelling and Control
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On a theorem of Khan in a generalized metric space

2013

Existence and uniqueness of fixed points are established for a mapping satisfying a contractive condition involving a rational expression on a generalized metric space. Several particular cases and applications as well as some illustrative examples are given.

Discrete mathematicsArticle Subjectlcsh:MathematicsInjective metric spacerational expression.Pseudometric spaceFixed pointFixed pointlcsh:QA1-939Convex metric spaceMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Uniquenessgeneralized metric spaceMetric differentialMathematics
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