STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENS

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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 equation rf(x+y/r)+sg(x-y/s)=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.
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