Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GENERAL SYSTEM OF MULTI-SEXTIC MAPPINGS AND STABILITY RESULTS

  • Abasalt Bodaghi (Department of Mathematics West Tehran Branch Islamic Azad University)
  • Received : 2022.06.06
  • Accepted : 2022.09.23
  • Published : 2023.04.30
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Abstract

In this study, we characterize the structure of the multivariable mappings which are sextic in each component. Indeed, we unify the general system of multi-sextic functional equations defining a multi-sextic mapping to a single equation. We also establish the Hyers-Ulam and Găvruţa stability of multi-sextic mappings by a fixed point theorem in non-Archimedean normed spaces. Moreover, we generalize some known stability results in the setting of quasi-𝛽-normed spaces. Using a characterization result, we indicate an example for the case that a multi-sextic mapping is non-stable.

Keywords

Acknowledgement

The author sincerely thanks the anonymous reviewer for the careful reading the first draft of paper.

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