Abstract
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 Gregori and Sapena [On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002) 245–252].
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