Fixed points in weak non-Archimedean fuzzy metric spaces

Authors:
Calogero Vetro
Affiliations:
Università degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi, 34-90123 Palermo, Italy
Venue:
Fuzzy Sets and Systems
Year:
2011

Citing 5
Cited 2

Fixed points in fuzzy metric spaces

Fuzzy Sets and Systems
On some results in fuzzy metric spaces

Fuzzy Sets and Systems
On some results of analysis for fuzzy metric spaces

Fuzzy Sets and Systems
On fixed-point theorems in fuzzy metric spaces

Fuzzy Sets and Systems
Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces

Fuzzy Sets and Systems

Fuzzy contractive mappings and fixed points in fuzzy metric spaces

Fuzzy Sets and Systems
Fixed point theorems for fuzzy ψ --contractive mappings in fuzzy metric spaces

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.21

Visualization

Abstract

Mihet [Fuzzy @j-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 @j-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.