Orthogonal Stability of Additive Functional Equation in Fuzzy β-Normed Spaces

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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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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