3-variable additive $\rho$-functional inequalities and equations

Abstract

In this paper, we introduce and investigate additive ρ-functional inequalities associated with the following additive functional equationsFurthermore, we prove the Hyers-Ulam stability of the additive ρ-functional inequalities in complex Banach spaces and prove the Hyers-Ulam stability of additive ρ-functional equations associated with the additive ρ-functional inequalities in complex Banach spaces.