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.

Vetro, C. (2011). Fixed points in weak non-Archimedean fuzzy metric spaces. FUZZY SETS AND SYSTEMS, 162(1), 84-90 [10.1016/j.fss.2010.09.018].

Fixed points in weak non-Archimedean fuzzy metric spaces

VETRO, Calogero
2011-01-01

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.
2011
Settore MAT/05 - Analisi Matematica
Vetro, C. (2011). Fixed points in weak non-Archimedean fuzzy metric spaces. FUZZY SETS AND SYSTEMS, 162(1), 84-90 [10.1016/j.fss.2010.09.018].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/52546
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