Some new fixed point results in non-Archimedean fuzzy metric spaces
Articles
Peyman Salimi
Islamic Azad University, Iran
Calogero Vetro
Università degli Studi di Palermo, Italy
Pasquale Vetro
Università degli Studi di Palermo, Italy
Published 2013-07-25
https://doi.org/10.15388/NA.18.3.14014
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Keywords

fuzzy metric spaces
non-Archimedean fuzzy metric spaces
fuzzy (α, β, ϕ)-contractive mappings
fuzzy α-φ-ψ-contractive mappings
fuzzy α-β-contractive mappings

How to Cite

Salimi P., Vetro C. and Vetro P. (2013) “Some new fixed point results in non-Archimedean fuzzy metric spaces”, Nonlinear Analysis: Modelling and Control, 18(3), pp. 344-358. doi: 10.15388/NA.18.3.14014.

Abstract

In this paper, we introduce the notions of fuzzy (α,β,ϕ)-contractive mapping, fuzzy α-φ-ψ-contractive mapping and fuzzy α-β-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this paper generalize and extend some recent results in fuzzy metric spaces. Also, some examples are given to support the usability of our results.

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