Stability of hyper homomorphisms and hyper derivations in complex Banach algebras

Stability of hyper homomorphisms and hyper derivations in complex Banach algebras

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{align*} g(x_1+x_2, y_1+y_2, z_1+z_2) = \s...

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Bibliographic Details
Main Authors: Yamin Sayyari, Mehdi Dehghanian, Choonkil Park, Jung Rye Lee
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:AIMS Mathematics
Subjects:
hyers-ulam stability
3-additive functional equation
hyper derivation
hyper homomrphism
3-linear mapping
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022597?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022597?viewType=HTML

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