Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules

In this paper, we introduce the idea of $\ast$-homomorphism on a Hilbert $C^{\ast }$-module. Furthermore, we prove the Hyers-Ulam stability of homomorphisms and $\ast$-homomorphisms on Hilbert $C^{\ast }$-modules using the fixed point method.