Address.
Unite de Recherche: Mathematiques et Applications,
Faculte des Sciences et Techniques Beni-Mellal,
B. P. 523, 23000 Beni-Mellal, Morocco
E-mail. stouti@yahoo.com
Abstract.
We prove the existence of a fixed point of non-expanding
fuzzy multifunctions in $\alpha$-fuzzy preordered sets.
Furthermore, we establish the existence of least and minimal fixed points
of non-expanding fuzzy multifunctions in $\alpha$-fuzzy ordered sets.
AMSclassification. 04A72, 03E72, 06A06, 47H10.
Keywords. Fuzzy set, $\alpha$-fuzzy preorder relation, $\alpha$-fuzzy order relation, non-expanding fuzzy multifunction, fixed point.