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Fuzzy \(\psi \)-contractive mappings in non-Archimedean fuzzy metric spaces. (English) Zbl 1171.54330

Fuzzy Sets Syst. 159, No. 6, 739-744 (2008); erratum ibid. 161, No. 8, 1150-1151 (2010).
Summary: This paper deals with some issues of fixed point theory involving fuzzy contractive mappings introduced by Gregori and Sapena. We enlarge this class and prove a Banach contraction theorem in \(M\)-complete non-Archimedean fuzzy metric spaces (under arbitrary t-norms), partially answering a question of V. Gregori and A. Sapena [Fuzzy Sets Syst. 125, No. 2, 245–252 (2002; Zbl 0995.54046)].

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54A40 Fuzzy topology

Citations:

Zbl 0995.54046
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Full Text: DOI

References:

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