Fixed point theorems for fuzzy ψ --contractive mappings in fuzzy metric spaces

  • Authors:

  • Duran Turkoglu;Muzeyyen Sangurlu

  • Affiliations:

  • Department of Mathematics, Faculty of Science and Arts, University of Amasya, Amasya, Turkey and Department of Mathematics, Faculty of Science, University of Gazi, Ankara, Turkey;Department of Mathematics, Faculty of Science, University of Gazi, Ankara, Turkey

  • Venue:
  • Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
  • Year:
  • 2014

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Abstract

Mihet D. Mihet, Fuzzy ψ --contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems 159 2008, 739--744 proved a fixed point theorem for fuzzy ψ --contractive mappings in non-Archimedean fuzzy metric spaces. Motivated by this, in this paper, we provide two kinds of fixed point theorems in fuzzy metric spaces. First we prove a common fixed point theorem for fuzzy ψ --contractive mappings in fuzzy metric spaces and then we obtain a common fixed point theorem for three mappings in fuzzy metric spaces, by contractivity condition D. Mihet, A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems 144 2004, 431--439, V. Radu, Some remarks on the probabilistic on fuzzy menger spaces, in: The Eighth Internal Conference on Appl Math Com-put Sci, Cluj-Napoca, 2002, Automat Comput Appl Math 11 2002, 125--131.