Fixed points of fuzzy generalized contractive mappings in fuzzy metric spaces

Abstract

In this paper, we introduce a new concept of fuzzy generalized contraction and give a fixed point result for such mappings in the setting of fuzzy M-complete metric spaces. We also give an affirmative partial answer to a question posed by Wardowski [D. Wardowski, Fuzzy contractive mappings and fixed points in fuzzy metric spaces, Fuzzy Set Syst., 222(2013), 108-114]. Some examples are also given to support our main result. © 2014 University of Sistan and Baluchestan. All rights reserved.