FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE FUZZY MAPPINGS

  • Published : 2002.12.01

Abstract

In this paper, we first prove the existence of fixed points for fuzzy mappings that satisfy a certain contractive condition. Also, we give a fixed point theorem for generalized contractive fuzzy mapping by using Caristi's by fixed point theorem.

Keywords

References

  1. Fuzzy Sets and Systems v.21 Fuzzy mappings and fixed point theorems R.K.Bose;D.Sahani
  2. Trans. Amer. Math. Soc. v.215 Fixed point theorems for mapping satisfying inwardness conditions J.Caristi
  3. I. C. R. Acad. Sci. Paris ser. A-B v.275 Remarques sur les problems variationnels I.Ekeland
  4. Bull. Amer. Math. Soc. v.1 Nonconvex minimization problems I.Ekeland
  5. J. Math. Anal. Appl. v.83 Fuzzy mappings and fixed point theorem S.Heilpern
  6. Pacific J. Math. v.30 Multivalued contraction mappings S.B.Nadler,Jr.