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

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  • Abasalt Bodaghi

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.

Suggested Citation

  • Abasalt Bodaghi, 2025. "Estimation of Inexact Multimixed Additive-Quadratic Mappings in Fuzzy Normed Spaces," Journal of Mathematics, Hindawi, vol. 2025, pages 1-13, May.
    • Handle: RePEc:hin:jjmath:3616098
    DOI: 10.1155/jom/3616098
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