Some new fixed point results in non-Archimedean fuzzy metric spaces | Zendy

Peyman Salimi | Zendy; Calogero Vetro | Zendy; Pasquale Vetro | Zendy

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Some new fixed point results in non-Archimedean fuzzy metric spaces

Author(s) -

Peyman Salimi,

Calogero Vetro,

Pasquale Vetro

Publication year - 2013

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.18.3.14014

Subject(s) - mathematics , fuzzy logic , metric space , fixed point , class (philosophy) , metric (unit) , product metric , usability , discrete mathematics , t norm , pure mathematics , algebra over a field , fuzzy set , fuzzy number , computer science , mathematical analysis , artificial intelligence , human–computer interaction , operations management , economics

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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