Fixed Points of Fuzzy Generalized Contractive Mappings in Fuzzy Metric Spaces

Document Type : Research Paper

Author

Department of Pure Mathematics, University of Shahrekord, Shahrekord, 88186-34141 Iran and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran

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., {\bf 222}(2013), 108-114].
Some examples are also given to support our main result.

Keywords

References

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