Elsevier

Fuzzy Sets and Systems

Volume 162, Issue 1, 1 January 2011, Pages 84-90
Fuzzy Sets and Systems

Fixed points in weak non-Archimedean fuzzy metric spaces

https://doi.org/10.1016/j.fss.2010.09.018Get rights and content

Abstract

Miheţ [Fuzzy ψ-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 ψ-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.

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The author is supported by University of Palermo (Local University Project R. S. ex 60%).

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