On fuzzy contractive mappings in fuzzy metric spaces

  • Authors:
  • Dorel Miheţ

  • Affiliations:
  • Faculty of Mathematics and Computer Science, West University of Timişoara, Bv. V. Parvan 4, 300223 Timişoara, Romania

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2007

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Abstract

Some results on fuzzy contractive mappings in [V. Gregori, A. Sapena, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002) 245-253] are extended to Edelstein fuzzy contractive mappings. Some new results are obtained by modifying the notion of convergence in fuzzy metric spaces. Due to specific axiom (GV-2), in fuzzy metric spaces in the sense of George and Veeramani this convergence is Frechet.