Abstract

In this paper, we introduce a new concept of fuzzy generalized contraction and give a xed point result for such mappings in the setting of fuzzy M-complete metric spaces. We also give an armative partial answer to a question posed by Wardowski (D. Wardowski, Fuzzy contractive mappings and xed points in fuzzy metric spaces, Fuzzy Set Syst., 222(2013), 108-114). Some examples are also given to support our main result.

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