Abstract
Using a fixed point result and an approach to stability of functional equations presented in [8], we investigate a new type of stability for the radical quadratic functional equation of the form
where f is a self-mapping on the set of real numbers. We generalize, extend, and complement some earlier classical results concerning the Hyers–Ulam stability for that functional equations.
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This work was supported by Research Professional Development Project under the Science Achievement Scholarship of Thailand (SAST).
The second author thanks the Thailand Research Fund and Office of the Higher Education Commission under grant no. MRG5980242 for financial support during the preparation of this manuscript.
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Aiemsomboon, L., Sintunavarat, W. On a new type of stability of a radical quadratic functional equation using Brzdȩk’s fixed point theorem. Acta Math. Hungar. 151, 35–46 (2017). https://doi.org/10.1007/s10474-016-0666-2
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DOI: https://doi.org/10.1007/s10474-016-0666-2