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Representation of Multilinear Mappings and s-Functional Inequality

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  • Abasalt Bodaghi

Abstract

In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality. As an application, we show that under some mild conditions, the multiderivations on Banach algebras are stable and hyperstable.

Suggested Citation

  • Abasalt Bodaghi, 2026. "Representation of Multilinear Mappings and s-Functional Inequality," Journal of Mathematics, Hindawi, vol. 2026, pages 1-8, February.
    • Handle: RePEc:hin:jjmath:1385255
    DOI: 10.1155/jom/1385255
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