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).
Park, C. & Najati, A. (2010). Generalized additive functional inequalities in Banach algebras. International Journal of Nonlinear Analysis and Applications, 1(2), 54–62. https://doi.org/10.22075/ijnaa.2010.75
MLA
Park, C., & Najati, A. "Generalized additive functional inequalities in Banach algebras", International Journal of Nonlinear Analysis and Applications, 1, 2, 2010, 54–62. doi: 10.22075/ijnaa.2010.75
HARVARD
Park, C., & Najati, A. (2010). 'Generalized additive functional inequalities in Banach algebras', International Journal of Nonlinear Analysis and Applications, 1(2), pp. 54–62. doi: 10.22075/ijnaa.2010.75
CHICAGO
Park, C. & Najati, A., "Generalized additive functional inequalities in Banach algebras." International Journal of Nonlinear Analysis and Applications, 1 2 (2010): 54–62, doi: 10.22075/ijnaa.2010.75
VANCOUVER
Park C., Najati A. Generalized additive functional inequalities in Banach algebras. IJNAA. 2010;1(2):54–62. doi: 10.22075/ijnaa.2010.75
International Journal of Nonlinear Analysis and Applications