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On fuzzy contractions in fuzzy metric spaces

Xu, Fengshuo et al.
arXiv (All) · Papers
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47h10general-topology
The classical Banach principle relies on contractive sequences being Cauchy. Gregori and Sapena (2002) established a fuzzy analogue but required this as an extra hypothesis, leaving it as an open problem. Gregori et al. (2020) later asked whether strictly fuzzy $ψ$-contractive sequences are necessar
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