Hyers-Ulam stability; proper Jordan CQ*-algebra; Jordan derivation; fixed point method
Discrete and continuous dynamical systems, 2012, 31(4), P.1469-1477
Eskandani and Vaezi proved the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras associated with the following Pexiderized Jensen type functional equation kf (x + y/k) = f(0)(x) + f(1)(y) by using direct method. Using fixed point method, we prove the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras. Moreover, we investigate the Pexiderized Jensen type functional inequality in proper Jordan CQ*-algebras.