A system of additive functional equations in complex Banach algebras

In this article, we solve the system of additive functional equations: fx y gx gy gx y f y x fx 2 , 2 4 ⎧ ⎨ ⎩ ( ) () () ( ) ( ) () +− = +− −= and prove the Hyers-Ulam stability of the system of additive functional equations in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of...

Descripción completa

Detalles Bibliográficos
Autores: Paokanta, Siriluk, Dehghanian, Mehdi, Park, Choonkil, Sayyari, Yamin
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:Colombia
Institución:Corporación Universidad de la Costa
Repositorio:Repositorio REDICUC
Idioma:inglés
OAI Identifier:oai:repositorio.cuc.edu.co:11323/10522
Acceso en línea:https://hdl.handle.net/11323/10522
https://repositorio.cuc.edu.co/
Access Level:acceso abierto
Palabra clave:Additive mapping
F-hom-der
Fixed point method
Hyers-Ulam stability
System of additive functional equations
Descripción
Sumario:In this article, we solve the system of additive functional equations: fx y gx gy gx y f y x fx 2 , 2 4 ⎧ ⎨ ⎩ ( ) () () ( ) ( ) () +− = +− −= and prove the Hyers-Ulam stability of the system of additive functional equations in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of f -hom-ders in Banach algebras.