MMN-5187
Some approximations on a system of multi-quadratic-quartic functional equations
Abasalt Bodaghi; Hemen Dutta;Abstract
In the current work, we define the multi-quadratic-quartic mappings as a system of k quadratic and n - k quartic equations and then present them an equation. In continuation, we establish the (Hyers-Ulam, Rassias and Gavruta) stability and hyperstability of the mentioned mappings, by applying the direct (Hyers) method in the setting of Banach spaces. Using a characterization result, we illustrate an example for the
case that a multi-quadratic-quartic mapping in the singularity case can
not be stable.
Vol. 27 (2026), No. 1, pp. 97-110