Abstract
AbstractUsing the fixed point method, we prove the Ulam stability of two general functional equations in several variables in 2-Banach spaces. As corollaries from our main results, some outcomes on the stability of a few known equations being special cases of the considered ones will be presented. In particular, we extend several recent results on the Ulam stability of functional equations in 2-Banach spaces.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology,Modelling and Simulation
Reference47 articles.
1. Aczél, J., Dhombres, J.: Functional Equations in Several Variables. Cambridge University Press, Cambridge (1989)
2. Aiemsomboon, L., Sintunavarat, W.: A note on the generalised hyperstability of the general linear equation. Bull. Aust. Math. Soc. 96, 263–273 (2017)
3. Aiemsomboon, L., Sintunavarat, W.: On new approximations for generalized Cauchy functional equations using Brzdȩk and Ciepliński’s fixed point theorems in 2-Banach spaces. Acta Math. Sci. 40, 824–834 (2020)
4. Aoki, T.: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Jpn. 2, 64–66 (1950)
5. Bahyrycz, A., Ciepliński, K., Olko, J.: On an equation characterizing multi-Cauchy–Jensen mappings and its Hyers–Ulam stability. Acta Math. Sci. Ser. B (Engl. Ed.) 35, 1349–1358 (2015)
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