Stability of generalized derivations on hilbert c*-modules associated with a pexiderized cauchy-jensen type functional equation

In this article, we introduce the notion of generalized derivations on Hilbert C*-modules. We use a fixed-point method to prove the generalized Hyers-Ulam-Rassias stability associated to the Pexiderized Cauchy-Jensen type functional equationrf(x+yr)+sg(x−ys)=2h(x)for r, s ∈ ℝ \ {0} on Hilbert C*-modules, where f, g, and h are mappings from a Hilbert C*-module M to M.