Stability of an Additive-Quadratic Functional Equation in a Banach Space

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DOI: https://doi.org/10.28924/2291-8639-23-2025-175
Published: Aug 1, 2025
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Siriluk Donganont, Choonkil Park, Nipa Jun-on, Raweerote Suparatulatorn, Stability of an Additive-Quadratic Functional Equation in a Banach Space, Int. J. Anal. Appl., 23 (2025), 175.

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Siriluk Donganont, Choonkil Park, Nipa Jun-on, Raweerote Suparatulatorn

Abstract

Using the direct and fixed point methods, we obtain the Hyers-Ulam stability of the following additive-quadratic functional equation: \[2h(p+q, r+s) + h(p+q, r-s)\] \[= 3\left[h(p, r) + h(p, s) + h(q, r) + h(q, s)\right]\] in a Banach space.

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