DOI: 10.24193/fpt-ro.2026.2.10

Authors: Choonkil Park

Abstract: In this paper, we solve the system of additive functional equations \[\begin{aligned} \begin{cases} 3f(x+y+z)= g(x)+ g(y) + g(z)\\ g\left(\frac{x+y+z}{3}\right)= f(x) + f(y) + f(z) \end{cases} \end{aligned}\] and we prove the Hyers-Ulam stability of ternary \(f\)-hom-ders in ternary Banach algebras.

Key Words and Phrases: Ternary Banach algebra, ternary \(f\)-hom-der, fixed point method, Hyers-Ulam stability, system of additive functional equations

2020 Mathematics Subject Classification: 47B47, 17B40, 39B72, 47H10, 39B52, 11E20.

Published on-line: June 1st, 2026.

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