Search results for "Non-Archimedean fuzzy metric space"

showing 5 items of 5 documents

Some new fixed point results in non-Archimedean fuzzy metric spaces

2013

In this paper, we introduce the notions of fuzzy $(\alpha,\beta,\varphi)$-contractive mapping, fuzzy $\alpha$-$\phi$-$\psi$-contractive mapping and fuzzy $\alpha$-$\beta$-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this paper generalize and extend some recent results in fuzzy metric spaces. Also, some examples are given to support the usability of our results.

Class (set theory)Computer sciencebusiness.industryMathematics::General Mathematicsfuzzy α-φ-ψ-contractive mappingsApplied Mathematicsfuzzy (α β ϕ)-contractive mappingslcsh:QA299.6-433Usabilitylcsh:AnalysisFixed pointFuzzy logicFuzzy metric spacefuzzy α-β-contractive mappingsAlgebrafuzzy metric spacesSettore MAT/05 - Analisi Matematicanon-Archimedean fuzzy metric spacesFuzzy metric spaces non-Archimedean fuzzy metric spaces fuzzy $(\alpha\beta\varphi)$-contractive mappings fuzzy $\alpha$-$\phi$-$\psi$-contractive mappings fuzzy $\alpha$-$\beta$-contractive mappings.businessAnalysisNonlinear Analysis
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Fixed points in weak non-Archimedean fuzzy metric spaces

2011

Mihet [Fuzzy $\psi$-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems, 159 (2008) 739-744] proved a theorem which assures the existence of a fixed point for fuzzy $\psi$-contractive mappings in the framework of complete non-Archimedean fuzzy metric spaces. Motivated by this, we introduce a notion of weak non-Archimedean fuzzy metric space and prove that the weak non-Archimedean fuzzy metric induces a Hausdorff topology. We utilize this new notion to obtain some common fixed point results for a pair of generalized contractive type mappings.

Common fixed points Weak non-Archimedean fuzzy metric spaces Fuzzy contractive mappingsDiscrete mathematicsFuzzy classificationMathematics::General MathematicsLogicInjective metric spaceT-normFuzzy subalgebraIntrinsic metricConvex metric spaceComputingMethodologies_PATTERNRECOGNITIONSettore MAT/05 - Analisi MatematicaArtificial IntelligenceFuzzy set operationsFuzzy numberComputingMethodologies_GENERALMathematicsFuzzy Sets and Systems
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Best Proximity Point Results in Non-Archimedean Fuzzy Metric Spaces

2013

We consider the problem of finding a best proximity point which achieves the minimum distance between two nonempty sets in a non-Archimedean fuzzy metric space. First we prove the existence and uniqueness of the best proximity point by using di fferent contractive conditions, then we present some examples to support our best proximity point theorems.

Discrete mathematicsLogicApplied MathematicsMinimum distanceBest proximity pointComputational intelligenceNon-Archimedean fuzzy metric spaceManagement Science and Operations ResearchTopologyIndustrial and Manufacturing EngineeringFuzzy metric spaceTheoretical Computer ScienceArtificial IntelligenceControl and Systems EngineeringSettore MAT/05 - Analisi MatematicaPoint (geometry)Best approximationUniquenessInformation SystemsMathematics
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Fixed point theory for cyclic weak ϕ-contraction in fuzzy metric spaces

2012

In this paper, we introduce cyclic weak $\phi-$contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.

Discrete mathematicsnon-Archimedean fuzzy metric spacFuzzy metric spaceInjective metric spacelcsh:QA299.6-433T-normEquivalence of metricslcsh:Analysiscyclic weak $phi-$contractionIntrinsic metricConvex metric spaceMetric spaceSettore MAT/05 - Analisi Matematicacyclic representationMetric mapFuzzy metric space cyclic representation cyclic weak ϕ-contraction non-Archimedean fuzzy metric spaceUltrametric spaceMathematics
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"Fixed Point Theorems for '?, ?'Contractive maps in Weak nonArchimedean Fuzzy Metric Spaces and Application"

2011

The present study introduce the notion of (ψ, ϕ)-Contractive maps in weak non-Archimedean fuzzy metric spaces to derive a common fixed point theorem which complements and extends the main theorems of [C.Vetro, Fixed points in weak non-Archimedean fuzzy metric spaces, Fuzzy Sets and System, 162 (2011), 84-90] and [D.Mihet, Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and System, 159 (2008) 739-744]. We support our result by establishing an application to product spaces.

Pure mathematicsMathematics::General MathematicsComputer scienceInjective metric spaceFuzzy setFixed-point theoremNon-Archimedean fuzzy metric spaceProduct metricT-normFuzzy subalgebraFixed pointCommon fixed pointFuzzy logic(ψ ϕ)-contractive mapsConvex metric spaceSettore MAT/05 - Analisi MatematicaFuzzy mathematicsFuzzy numberMetric mapInternational Journal of Computer Applications
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