摘要：In this article, we establish the generalized Hyers-Ulam (or Hyers-Ulam-Rassais) stability of Jordan homomorphisms and Jordan derivations of the following parametric additive functional equation: ∑ i = 1 m f ( x i ) = 1 2 m ∑ i = 1 m f m x i + ∑ j = 1 , j ≠ i m x j + f ∑ i = 1 m x i for a fixed positive integer m with m ≥ 2, on fuzzy Banach algebras. The concept of Ulam-Hyers-Rassias stability originated from Rassias stability theorem that appeared in his article. Mathematics Subject Classification: Primary, 46S40; Secondary, 39B52; 39B82; 26E50; 46S50; 46H25.
关键词：Fuzzy normed space ; Jordan homomorphism ; Jordan derivation ; generalized Hyers-Ulam stability
