0000000000803628

AUTHOR

Akbar Azam

showing 3 related works from this author

On a pair of fuzzy $\varphi$-contractive mappings

2010

We establish common fixed point theorems for fuzzy mappings under a $\varphi$-contraction condition on a metric space with the d_$\infty$-metric (induced by the Hausdorff metric) on the family of fuzzy sets. The study of fixed points of fuzzy set-valued mappings related to the d_$\infty$-metric is useful in geometric problems arising in high energy physics. Our results generalize some recent results.

Discrete mathematicsInjective metric spaceFuzzy mappingT-normFuzzy subalgebraFixed pointCommon fixed pointComputer Science ApplicationsConvex metric spaceIntrinsic metricHausdorff distanceContractive type mappingSettore MAT/05 - Analisi MatematicaModeling and SimulationFuzzy numberCoincidence pointMathematics
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Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces

2013

We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.

Discrete mathematicscoupled fixed pointArticle SubjectApplied MathematicsInjective metric spacelcsh:Mathematicscommon coupled fixed pointlcsh:QA1-939Convex metric spaceIntrinsic metricMetric spaceSettore MAT/05 - Analisi MatematicaFixed-point iterationcomplex-valued metric spaceMetric (mathematics)Contraction mappingFisher information metricMathematicsJournal of Applied Mathematics
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Some Common Fixed Point Results in Cone Metric Spaces

2009

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

Pure mathematicsT57-57.97QA299.6-433Applied mathematics. Quantitative methodsInjective metric spaceApplied MathematicsMathematical analysisEquivalence of metricsFixed pointConvex metric spaceIntrinsic metricMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Metric mapGeometry and TopologyPoints of coincidence common fixed points contractive mappingsAnalysisMathematicsFixed Point Theory and Applications
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