Approximation of the generalized Cauchy–Jensen functional equation in [Formula: see text] -algebras

In this paper, we prove Hyers–Ulam–Rassias stability of [Formula: see text] -algebra homomorphisms for the following generalized Cauchy–Jensen equation: [Formula: see text] for all [Formula: see text] and for any fixed positive integer [Formula: see text] , which was introduced by Gao et al. [J. Mat...

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Detalles Bibliográficos
Autores principales: Kaskasem, Prondanai, Klin-eam, Chakkrid
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154084/
https://www.ncbi.nlm.nih.gov/pubmed/30839670
http://dx.doi.org/10.1186/s13660-018-1824-6
Descripción
Sumario:In this paper, we prove Hyers–Ulam–Rassias stability of [Formula: see text] -algebra homomorphisms for the following generalized Cauchy–Jensen equation: [Formula: see text] for all [Formula: see text] and for any fixed positive integer [Formula: see text] , which was introduced by Gao et al. [J. Math. Inequal. 3:63–77, 2009], on [Formula: see text] -algebras by using fixed poind alternative theorem. Moreover, we introduce and investigate Hyers–Ulam–Rassias stability of generalized θ-derivation for such functional equations on [Formula: see text] -algebras by the same method.

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