Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 1 2 2010 07 05 Approximately higher Hilbert $C^*$-module derivations 36 43 73 10.22075/ijnaa.2010.73 EN M. B. Ghaemi Department of Mathematics, Iran University of Science and Technology, Tehran, Iran B. Alizadeh PhD and Graduate Center, Payame Noor University, Shahnaz Alley Haj Mahmood Norian Street, Shiraz, Iran Tabriz College of Technology, P. O. Box 51745-135, Tabriz, Iran Journal Article 2010 01 10 We show that higher derivations on a Hilbert $C^{*}-$module associated with the Cauchy functional equation satisfying generalized Hyers--Ulam stability. <br />  Hyers--Ulam stability Hilbert $C^{*}-$modules Derivation Higher derivation Fixed point theorem https://ijnaa.semnan.ac.ir/article_73_d2ddea18f00665ce8623e36bd4e3c7c5.pdf