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RESEARCH PRODUCT

"Fixed Point Theorems for '?, ?'Contractive maps in Weak nonArchimedean Fuzzy Metric Spaces and Application"

Calogero VetroRamesh Kumar VatsVizender Sihag

subject

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

description

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.

https://doi.org/10.5120/3275-4454