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On the Brzdȩk’s fixed point approach to stability of a Drygas functional equation in 2-Banach spaces

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Abstract

Using the Brzḑek’s fixed point approach, we will prove the generalized Hyers–Ulam–Rassias stability for the following Drygas functional equation in 2-Banach spaces

$$\begin{aligned} f(x+y)+f(x-y)=2f(x)+f(y)+f(-y). \end{aligned}$$

Moreover, we investigate some hyperstability results for this equation.

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  1. Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP 133, Kenitra, Morocco

    Ahmed Nuino

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Nuino, A. On the Brzdȩk’s fixed point approach to stability of a Drygas functional equation in 2-Banach spaces. J. Fixed Point Theory Appl. 23, 18 (2021). https://doi.org/10.1007/s11784-021-00856-2

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