On the stability of J*-derivations

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Gordji, M. Eshaghi¹  Ghaemi, M. B.²  Gharetapeh, S. Kaboli³  Shams, S.⁴  Ebadian, A.⁴ 

[1] Semnan Univ, Dept Math, Semnan, Iran

[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

[3] Payame Noor Univ Mashhad, Dept Math, Mashhad, Iran

[4] Urmia Univ, Dept Math, Orumiyeh, Iran

关键词: Hyers-Ulam-Rassias stability;    J*-algebra;    Generalized Jensen-type functional equation;   

DOI  :  10.1016/j.geomphys.2009.11.004

来源: Elsevier

【 摘 要 】

In this paper, we establish the stability and superstability of J*-derivations in J*-algebras for the generalized Jensen-type functional equation rf(x + y/r) + rf (x - y/r) = 2f(x). Finally, we investigate the stability of J*-derivations by using the fixed point alternative. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free