Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces

In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic, and multi‐additive‐quadratic. Moreover, we prove the Găvruţa and Rassias stability for the multi‐additive, multi‐quadratic, and multi‐additive‐quadratic mappings in fuzzy normed spaces by means of a functional inequality. Lastly, for more clarity, we supply a concrete example using as a fuzzy Banach space, to establish the Hyers stability, where T is the standard fuzzy norm on .