The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras

Volume 2, Issue 1
Spring 2020
Pages 17-22

Document Type : Original Article

Author

Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran.

Abstract
In this paper, the generalized Hyers-Ulam stability of the functional inequality
||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||,      |k|<|2|,
in non-Archimedean Banach algebras is established.
  • Receive Date 12 April 2020
  • Revise Date 17 July 2020
  • Accept Date 19 October 2020