General Solutions and Generalized Hyer-Ulam Stability in Banach Spaces: A Direct Method Approach for a System of Functional Equations

G., Yagachitradevi and S., Lakshminarayanan and P., Ravindiran (2023) General Solutions and Generalized Hyer-Ulam Stability in Banach Spaces: A Direct Method Approach for a System of Functional Equations. Journal of Advances in Mathematics and Computer Science, 38 (10). pp. 157-166. ISSN 2456-9968

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Abstract

n this paper, we have obtained general solutions and demonstrated the generalized Hyer-Ulam stability forthe following system of functional equations in Banach spaces using the direct method:
(i)h(u1+u2+u3) +h(u1+u2−u3) +h(u1−u2+u3) +h(u1−u2−u3)= 4h(u1),
(ii)h(3u1+ 2u2+u3) +h(3u1+ 2u2−u3) +h(3u1−2u2+u3) +h(3u1−2u2−u3)= 12h(u1),
(iii)h(u1+ 2u2+ 3u3) +h(u1+ 2u2−3u3) +h(u1−2u2+ 3u3) +h(u1−2u2−3u3)= 4h(u1).

Item Type: Article
Subjects: Pustaka Library > Mathematical Science
Depositing User: Unnamed user with email support@pustakalibrary.com
Date Deposited: 04 Nov 2023 11:23
Last Modified: 30 Jan 2024 07:44
URI: http://archive.bionaturalists.in/id/eprint/1769

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