Document Type : Research Paper

Authors

• M. B. Ghaemi ¹
• B. Alizadeh ^{2, 3}

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, Shiraz, Iran

³ Tabriz College of Technology, P. O. Box 51745-135, Tabriz, Iran

Abstract

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

Keywords

• Hyers--Ulam stability
• Hilbert $C^{\ast }-$modules
• Derivation
• Higher derivation
• fixed point theorem