Generalized additive functional inequalities in Banach algebras

نویسندگان
Park, C. ID 1
Najati, A. ID 2

1 Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea

2 Faculty of Sciences, Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Islamic Republic of Iran.

doi
10.22075/ijnaa.2010.75
چکیده

Using the Hyers-Ulam-Rassias stability method, we investigate isomorphisms in Banach algebras and derivations on Banach algebras associated with the following generalized additive functional inequality\begin{eqnarray}\|af(x)+bf(y)+cf(z)\|  \le  \|f(\alpha x+ \beta y+\gamma z)\| .\end{eqnarray}Moreover, we prove the Hyers-Ulam-Rassias stability of homomorphism in Banach algebras and of derivations on Banach algebras associated with the generalized additive functional inequality (0.1).

کلیدواژه‌ها
Hyers-Ulam-Rassias stability, generalized additive functional inequality, algebra homomorphism in Banach algebra, derivation on Banach algebra