Hyers-Ulam Stability of Ternary ( s , t , x )-Derivations on C *-Ternary Algebras

摘要

Let q be a positive rational number and let A be a C *-ternary algebra. Let s , t and x be linear maps on A . We prove the generalized Hyers-Ulam stability of Jordan ternary ( s , t , x )-derivations, ternary ( s , t , x )-derivations and Lie ternary ( s , t , x )-derivations in A for the following Euler-Lagrange type additive mapping: