Hyers-Ulam stability of derivations in fuzzy Banach space

Abstract

In this paper, we construct an additive functional equation, and use the fixed point alternative theorem to investigate the Hyers-Ulam stability of derivations fuzzy Banach space and fuzzy Lie Banach space associated with the following functional equation: f (2x − y − z)+f (x − z)+f (x + y + 2z) = f (4x).