Approximately higher Hilbert $C^*$-module derivations


1 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

2 PhD and Graduate Center, Payame Noor University, Shahnaz Alley Haj Mahmood Norian Street, $$AND$$ Tabriz College of Technology, P. O. Box 51745-135, Tabriz, Iran.


We show that  higher derivations on a Hilbert
$C^{*}-$module associated with
 the Cauchy functional equation satisfying generalized Hyers--Ulam stability.