Bihom derivations in Banach algebras

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

“…In 1978, Rassias [3] generalized for additive mappings. See [4][5][6][7][8][9] for more information.…”

System of Additive Functional Equations in Banach Algebras

“…That is, the exact solution of the functional equation is explicitly constructed as a limit of a sequence, starting from the given approximate solution [4,16]. The other significant method is fixed point theorem, that is, the exact solution of the functional equation is explicitly created as a fixed point of some certain map [6,8,12,13].…”

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

“…In 1987, Rassias [3] proved a generalized version of the Hyers' theorem for approximately additive maps. Te study of stability problem of functional equations have been done by several authors on diferent spaces such as Banach, C * -Banach algebras and modular spaces (for example see [4][5][6][7][8][9][10][11][12][13]). One of the stimulating aspects is to examine the stability of those functional equations whose general solutions exist and are useful in characterizing entropies [14].…”