Abstract
AbstractIn this article, we study n-variable mappings which are cubic in each variable. We also show that such mappings can be described by an equation, say, multi-cubic functional equation. Furthermore, we study the stability of such functional equations in the modular space $X_{\rho }$Xρ by applying $\Delta _{2}$Δ2-condition and the Fatou property (in some cases) on the modular function ρ. Finally, we show that, under some mild conditions, one of these new multi-cubic functional equations can be hyperstable.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference50 articles.
1. Aoki, T.: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Jpn. 2, 64–66 (1950)
2. Bahyrycz, A., Ciepliński, K., Olko, J.: On an equation characterizing multi-additive-quadratic mappings and its Hyers–Ulam stability. Appl. Math. Comput. 265, 448–455 (2015)
3. Bodaghi, A.: Cubic derivations on Banach algebras. Acta Math. Vietnam. 38(4), 517–528 (2013)
4. Bodaghi, A.: Ulam stability of a cubic functional equation in various spaces. Mathematica 55(2), 125–141 (2013)
5. Bodaghi, A.: Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations. J. Intell. Fuzzy Syst. 30, 2309–2317 (2016)
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