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.
Sihag, V., Vats, R.K., Vetro, C. (2011). Fixed Point Theorems for (ψ, ϕ)-Contractive maps in Weak non-Archimedean Fuzzy Metric Spaces and Application. INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS, 27(2), 23-27 [10.5120/3275-4454].
Fixed Point Theorems for (ψ, ϕ)-Contractive maps in Weak non-Archimedean Fuzzy Metric Spaces and Application
VETRO, Calogero
2011-01-01
Abstract
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.
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