TY - JOUR AU - Eshaghi Gordji, Madjid AU - Ghobadipour, N. PY - 2011/01/07 Y2 - 2024/03/29 TI - Generalized Ulam—Hyers stabilities of quartic derivations on Banach algebras JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 29 IS - 3 SE - DO - 10.4067/S0716-09172010000300005 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/209-226 SP - 209-226 AB - <span>Let <span>A <span>, <span>B <span>be two rings. A mapping <span>δ <span>: <span>A → B <span>is called quartic <span>derivation, if <span>δ <span>is a quartic function satisfies <span>δ<span>(<span>ab<span>) = <span>a<span><sup>4</sup><span>δ<span>(<span>b<span>) + <span>δ<span>(<span>a<span>)<span>b<span><sup>4 </sup> <span>for all <span>a, b <span>∈ A<span>. <span>The main purpose of this paper to prove the generalized Hyers—Ulam—Rassias stability of the quartic derivations on <span>Banach algebras.</span></span></span><br /></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span> ER -