Almost Jordan homomorphisms and Jordan derivations associated to the parametric-additive functional equation on fuzzy Banach algebras

作者：Kenary Hassan Azadi; Rezaei Hamid; Gheisari Yosouf; Gordji Madjid Eshaghi; Shin Dong Yun^*

来源：Advances in Difference Equations, 2012, 70.

DOI：10.1186/1687-1847-2012-70

• Fuzzy normed space
• Jordan homomorphism
• Jordan derivation
• generalized Hyers-Ulam stability

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: %26lt;br%26gt;Sigma(m)(i=1)f(x(i)) = 1/2m[Sigma(m)(i=1)f(mx(i) + Sigma(m)(j=1,j not equal i)x(j)) + f(Sigma(m)(i=1)x(i))] %26lt;br%26gt;for a fixed positive integer m with m a parts per thousand yen 2, on fuzzy Banach algebras. The concept of Ulam-Hyers-Rassias stability originated from Rassias stability theorem that appeared in his article.

• 出版日期2012