Generalized Ulam—Hyers stabilities of quartic derivations on Banach algebras

Authors

  • Madjid Eshaghi Gordji Semnan University.
  • N. Ghobadipour Urmia University.

DOI:

https://doi.org/10.4067/S0716-09172010000300005

Keywords:

Banach algebra, quartic functional equation, quartic derivation, Hyer-Ulam-Rassias stability, álgebra de Banach, ecuación funcional cuártica, derivación cuártica, estabilidad de Hyer-Ulam-Rassias.

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.

Author Biographies

Madjid Eshaghi Gordji, Semnan University.

Department of Mathematics.

N. Ghobadipour, Urmia University.

Department of Mathematics.

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Published

2011-01-07

How to Cite

[1]
M. Eshaghi Gordji and N. Ghobadipour, “Generalized Ulam—Hyers stabilities of quartic derivations on Banach algebras”, Proyecciones (Antofagasta, On line), vol. 29, no. 3, pp. 209-226, Jan. 2011.

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