Open AccessStability of hyper homomorphisms and hyper derivations in complex Banach algebras
Author(s) -
Yamin Sayyari,
Mehdi Dehghanian,
Choonkil Park,
Jung Rye Lee
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022597
Subject(s) - homomorphism , mathematics , stability (learning theory) , banach algebra , pure mathematics , banach space , discrete mathematics , algebra over a field , computer science , machine learning
In this paper, we introduce the concept of hyper homomorphisms and hyper derivations in Banach algebras and we establish the stability of hyper homomorphisms and hyper derivations in Banach algebras for the following 3-additive functional equation: \begin{document}$ \begin{align*} g(x_1+x_2, y_1+y_2, z_1+z_2) = \sum\limits_{i, j, k = 1}^2 g(x_i, y_j, z_k). \end{align*} $\end{document}