Fixed Points of Fuzzy Generalized Contractive Mappings in Fuzzy Metric Spaces

author

  • A. Amini-Harandi 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 generalizedcontraction 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.

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Journal title

volume 11  issue 2

pages  113- 120

publication date 2014-04-28

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