Orthogonally Fixed Points and (m, m)-Hom-Derivation Equations

Abstract

In this paper, we introduce the concept of m-Hom-m-derivation (briefly (m, m)-Hom-derivation) equations in orthogonally Banach algebras. We use the orthogonally fixed point to investigate the hyperstability of (m, m)-Hom-derivation equations.