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 |
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pagine (da-a) | 84-90 |
Numero di pagine | 7 |
Rivista | Fuzzy Sets and Systems |
Volume | 162 |
Stato di pubblicazione | Published - 2011 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2609???
- ???subjectarea.asjc.1700.1702???