Abstract
AbstractIn this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings. As a result, we investigate the hyperstability of multi-quadratic–cubic mappings in some senses.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference32 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.: 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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