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.
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ISSN: 1229-1595 (Print), 2466-0973 (Online)
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