Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

Hyers-Ulam stability of i-f-hom-ders associate with systems of additive-quadratic-cubic functional equations

Author
epartment of Mathematics, Payame NoorUniversity, P.O. Box 19395-3697, Tehran, Iran
Abstract
There current paper deal to introduce a new concept called systems of orthogonally additivequadratic-
cubic functional equations defined on orthogonally Banach algebras. After that, we introduce the
notion of an orthogonally i-f-hom-ders, with i ∈ {1, 2, 3}. Finally, using a fixed point method, we prove
Hyers–Ulam stability for these systems of orthogonally additive-quadratic-cubic functional equations and
orthogonally i-f-hom-ders, employing the main control functions on orthogonally Banach algebras.
Keywords
Subjects

  • Receive Date 05 January 2026
  • Revise Date 21 April 2026
  • Accept Date 10 May 2026