# Fixed points in weak non-Archimedean fuzzy metric spaces

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35 Citazioni (Scopus)

### Abstract

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.
Lingua originale English 84-90 7 Fuzzy Sets and Systems 162 Published - 2011

### All Science Journal Classification (ASJC) codes

• Logic
• Artificial Intelligence