Proyecciones Journal of Mathematics
Vol. 29, N° 3, pp. 209-226, December 2010.
Universidad Católica del Norte
Antofagasta - Chile


GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS


M. Eshaghi Gordji¹
N. Ghobadipour²

¹Semnan University, Iran
²Urmia University, Iran


Correspondencia a:

Abstract

Let A , B be two rings. A mapping δ : A → B is called quartic derivation, if δ is a quartic function satisfies δ(ab) = a⁴δ(b) + δ(a)b⁴ for all a, b ∈ A. The main purpose of this paper to prove the generalized Hyers-Ulam-Rassias stability of the quartic derivations on Banach algebras.

2000 Mathematics Subject Classification : Primary 39B52, Secondary 39B82.

Keywords : Banach algebra; quartic functional equation; quartic derivation; Hyer-Ulam-Rassias stability.

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M. Eshaghi Gordji
Department of Mathematics
Semnan University
P. O. Box 35195-363, Semnan
Iran
e-mail : madjid.eshaghi@gmail.com


N. Ghobadipour
Department of Mathematics
Urmia University, Urmia
Iran
e-mail : ghobadipour.n@gmail.com

Received : July 2010. Accepted : September 2010