Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces

  • Authors:
  • Dorel Miheţ

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

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

Quantified Score

Hi-index 0.21

Visualization

Abstract

This paper deals with some issues of fixed point theory involving fuzzy contractive mappings introduced by Gregori and Sapena. We enlarge this class and prove a Banach contraction theorem in M-complete non-Archimedean fuzzy metric spaces (under arbitrary t-norms), partially answering a question of Gregori and Sapena [On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002) 245-252].