HYERS-ULAM STABILITY OF ANTIDERIVATION IN BANACH ALGEBRA VIA FIXED POINT THEOREM

Abstract

In this article, we introduce the concept of antiderivation in complex algebrasand investigate the Hyers-Ulam stability of antiderivation in Banach algebras A, associatedto the -functional inequality:

|| f(σ+τ+υ) - f(σ+υ) - f(σ+τ-υ) + f(σ-υ) ||

≤ ρ || f(σ-τ+υ) - f(σ+υ) - f(σ-τ-υ) + f(σ-υ) ||

for all σ,τ,υ∈A with |ρ|< 1 by using the fixed point method.