Stability of derivations in fuzzy normed algebras

Abstract

In this paper, we nd a fuzzy approximation of derivation for an m-variable additive functional equation. In fact, using the xed point method, we prove the Hyers-Ulam stability of derivations on fuzzy Lie C -algebras for the the following additive functional equation Xm i=1 f mxi + Xm j=1; j6=i xj + f Xm i=1 xi = 2f Xm i=1 mxi for a given integer m with m 2. c 2015 All rights reserved. Keywords: Fuzzy normed space, additive functional equation, xed point, derivation, C -algebra, Lie C -algebra, Hyers-Ulam stability. 2010 MSC: 47H10, 54H25.