OICC Press Mathematical Analysis and its Contemporary Applications 2 1 2020 03 20 The generalized Hyers-Ulam stability of derivations in non-Archimedean Banach algebras 10.30495/maca.2020.679852 EN Abolfazl Niazi Motlagh Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, Bojnord, Iran. Journal Article 2020 03 20 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.