Nila, M. and Vijayalakshmi, A. and Balamurugan, M. and Gayathri, S. and Thangapandi, K. and Punniyamoorthy, K. and Prabaharan, N. (2024) Orthogonal Stability of Additive Functional Equation in Fuzzy β-Normed Spaces. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 22.0. ISSN 2291-8639
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Official URL: http://dx.doi.org/10.28924/2291-8639-22-2024-231
Open Access PDF Link: https://etamaths.com/index.php/ijaa/article/downlo...
Abstract
The primary objective of this study is to present a novel form of generalised additive functional equation phi ( :l ) j = 1 jvj = : lj = 1 j phi ( v j ) , where l >= 2 with each vi perpendicular to vj; i not equal j = 1, 2,center dot center dot center dot, l , and derive its solution. Mainly, we examine the Hyers-Ulam-Rassias orthogonal stability of this equation by utilizing two different approaches.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | fixed point, additive functional equation, fuzzy beta-normed space |
| Subjects: | Mathematics > Mathematics |
| Divisions: | Engineering and Technology > Aarupadai Veedu Institute of Technology, Chennai, India > Biomedical Engineering |
| Depositing User: | Unnamed user with email techsupport@mosys.org |
| Last Modified: | 06 Feb 2026 07:15 |
| URI: | https://ir.vmrfdu.edu.in/id/eprint/7358 |
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