Abstract
AbstractIn this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation. We also apply a fixed point theorem to establish the Hyers–Ulam stability for the generalized multi-quadratic functional equations. Furthermore, we present an example and a few corollaries corresponding to some known stability results.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference40 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 Cauchy–Jensen mappings and its Hyers–Ulam stability. Acta Math. Sci. Ser. B Engl. Ed. 35, 1349–1358 (2015)
3. 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)
4. Bodaghi, A.: Cubic derivations on Banach algebras. Acta Math. Vietnam. 38(4), 517–528 (2013)
5. Bodaghi, A., Alias, I.A.: Approximate ternary quadratic derivations on ternary Banach algebras and $C^{*}$-ternary rings. Adv. Differ. Equ. 2012, Article ID 11 (2012). https://doi.org/10.1186/1687-1847-2012-11
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献