Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition

In this paper we prove coincidence and common fixed point theorems for two pairs of weakly compatible self maps in fuzzy metric space using a fuzzy analogue of the Meir-Keeler type contractive condition. Our results substantially  extend, generalize, and improve a multitude of well known results of the form existing in the literature for metric as well as fuzzy metric spaces.

___

  • -
  • M. Abbas, I Altun and D. Gopal, Common fixed
  • point theorems for non compatible mappings in
  • fuzzy metric spaces, Bull. Math. Anal. Appl., 1 (2) (2009), 47-56. [2]
  • M. Aamri and D. El Moutawakil, Some new
  • R.P. Pant and P.C. Joshi, A Meir Keeler type fixed
  • point theorem, Indian journal of Pure and Applied
  • S.L. Singh and A. Tomar, Fixed point theorems on
  • FM-spaces, J. Fuzzy Math.,12 (4) (2004), 845-859.
  • L.A. Zadeh, Fuzzy sets, Infor. and Control., 8 (1965), 338-353.