A system of biadditive functional equations in Banach algebras

In this paper, we obtain the general solution and the Hyers-Ulam stability of the system of biadditive functional equationsin complex Banach spaces. Furthermore, we prove the Hyers–Ulam stability of f-biderivations in complex Banach algebras.

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Bibliographic Details
Published in:Applied mathematics in science and engineering 2023-12, Vol.31 (1)
Main Authors: Sayyari, Yamin, Dehghanian, Mehdi, Park, Choonkil
Format: Article
Language:English
Subjects:
Banach spaces
biadditive mapping
f-biderivation
fixed point method
Functional equations
hyers–ulam stability
Stability
system of biadditive functional equations
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Summary:In this paper, we obtain the general solution and the Hyers-Ulam stability of the system of biadditive functional equationsin complex Banach spaces. Furthermore, we prove the Hyers–Ulam stability of f-biderivations in complex Banach algebras.
ISSN:2769-0911
2769-0911
DOI:10.1080/27690911.2023.2176851