대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권2호
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  • Pages.509-524
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  • 2023
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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GENERAL SYSTEM OF MULTI-SEXTIC MAPPINGS AND STABILITY RESULTS

  • Abasalt Bodaghi (Department of Mathematics West Tehran Branch Islamic Azad University)
  • 투고 : 2022.06.06
  • 심사 : 2022.09.23
  • 발행 : 2023.04.30
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초록

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.

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과제정보

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

참고문헌

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