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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, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:3616098
    DOI: 10.1155/jom/3616098
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    References listed on IDEAS

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    1. Abasalt Bodaghi & Sang Og Kim, 2013. "Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, October.
    2. Abasalt Bodaghi & Sang Og Kim, 2013. "Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non‐Archimedean Normed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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