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: g(x1 + x2, y1 + y2, z1 + z2 ) = 2∑ i, j,k=1 g(xi, y...

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Bibliographic Details
Main Authors: Dehghanian, M. (Author), Lee, J.R (Author), Park, C. (Author), Sayyari, Y. (Author)
Format: Article
Language:English
Published: American Institute of Mathematical Sciences 2022
Subjects:
3-additive functional equation
3-linear mapping
Hyers-Ulam stability
hyper derivation
hyper homomrphism
Online Access:View Fulltext in Publisher
Description
Summary: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: g(x1 + x2, y1 + y2, z1 + z2 ) = 2∑ i, j,k=1 g(xi, yj, zk ). © 2022 the Author(s), licensee AIMS Press.
ISBN:24736988 (ISSN)
DOI:10.3934/math.2022597

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