Generalized additive functional inequalities in Banach algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 7، دوره 1، شماره 2، 2010، صفحه 54-62 اصل مقاله (195.63 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2010.75 | ||
| نویسندگان | ||
| C. Park* 1؛ A. Najati2 | ||
| 1Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea | ||
| 2Faculty of Sciences, Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Islamic Republic of Iran. | ||
| 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 | ||
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