Applied Mathematics & Information Sciences

Article Title

On Additive ρ-Functional Equations Arising from Cauchy-Jensen Functional Equations and their Stability


In this paper, three new ρ–functional equations arising from Cauchy-Jensen functional equations are presented. Their relations with the additive function are obtained, and these ρ–functional equations are solved without any regularity assumptions. Their stability is also carried out in complex Banach spaces.