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.

Orthogonally C∗‐Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability

“…Recently, Eshaghi Gordji et al [15] introduced the notion of the orthogonal set, which contains the notion of orthogonality in normed space. Te study on orthogonal sets has been done by several authors (for example, see [16][17][18]) Defnition 1 (see [15]). Let X ≠ ∅ and ⊥⊆X × X be a binary relation.…”