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On Stabililty of Generalized Additive Functional Equations in Banach Space

Year: 2024
Type: article
Abstract: The stability problem arises when a functional equation is replaced by an inequality. When the equation admits a unique solution, we say that the equation is stable. In this paper, an Arunkumar-Agilan type additive functional equation is considered. By applying the direct method introduced by Hyers and the method of Gavruta, we established the Hyers-Ulam-Rassias stability condition for such an additive functional equation.
Authors: Yusuf Ibrahim, Aminu A. Usman
Language: English
Open Access status: green
OpenAlex ID: W7062282224
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