In the present article, we introduce a novel multimixed additive-quadratic mapping, and then show that the system of several mixed additive-quadratic equations defining a multimixed additive-quadratic mapping can be described as one single equation. We also show that such mappings under some conditions are multi-additive, multi-quadratic and multi-additive-quadratic. Moreover, we prove the Hyers stability for the multi-additive, multi-quadratic and multi-additive-quadratic mappings in the content of Banach spaces by two famous classical manners. As a outcome, by using a decomposition, we show that every multimixed additive-quadratic mapping is Hyers stable.
Bodaghi,A . (2026). Representation and perturbations of a system of additive-quadratic functional equations. (e738867). Mathematics and Computational Sciences, (), e738867 doi: 10.30511/mcs.2026.2085115.1733
MLA
Bodaghi,A . "Representation and perturbations of a system of additive-quadratic functional equations" .e738867 , Mathematics and Computational Sciences, , , 2026, e738867. doi: 10.30511/mcs.2026.2085115.1733
HARVARD
Bodaghi A. (2026). 'Representation and perturbations of a system of additive-quadratic functional equations', Mathematics and Computational Sciences, (), e738867. doi: 10.30511/mcs.2026.2085115.1733
CHICAGO
A Bodaghi, "Representation and perturbations of a system of additive-quadratic functional equations," Mathematics and Computational Sciences, (2026): e738867, doi: 10.30511/mcs.2026.2085115.1733
VANCOUVER
Bodaghi A. Representation and perturbations of a system of additive-quadratic functional equations. MCS. 2026;():e738867. doi: 10.30511/mcs.2026.2085115.1733
