Stability of Additive and a Generalized Quadratic Functional Equations in Banach Spaces
Bhavin Mansukhlal Patel *
Department of Mathematics, Gujarat Arts and Science College, Ahmedabad, Gujarat, India.
*Author to whom correspondence should be addressed.
Abstract
In this research article, we investigate the Hyers-Ulam stability of additive and generalized quadratic type functional equation f(x + ay) + af(x − y) = f(x − ay) + af(x + y) for a ∈ Z \ {−1, 0, 1} and x, y ∈ X × X, where f : X × X → Y , (X, ∥·, ·∥) is a 2-normed space and (Y, ∥ · ∥) is a Banach space.Keywords: Quadratic function, additive function, Hyers-Ulam stability, 2-normed space, 2-Banach space
How to Cite
Patel, Bhavin Mansukhlal. 2025. “Stability of Additive and a Generalized Quadratic Functional Equations in Banach Spaces”. Asian Research Journal of Mathematics 21 (11):36-51. https://doi.org/10.9734/arjom/2025/v21i111010.
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