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

Abasalt Bodaghi

Journal of Mathematics, 2025, vol. 2025, 1-13

Abstract: 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 R,T as a fuzzy Banach space, to establish the Hyers stability, where T is the standard fuzzy norm on R.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3616098

DOI: 10.1155/jom/3616098

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