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Fixed points in weak non-Archimedean fuzzy metric spaces

Calogero Vetro

subject

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_GENERALMathematics

description

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.

yearjournalcountryeditionlanguage
2011-01-01Fuzzy Sets and Systems
https://doi.org/10.1016/j.fss.2010.09.018