A Remark for the Hyers–Ulam Stabilities on n-Banach Spaces

A Remark for the Hyers–Ulam Stabilities on n-Banach Spaces

In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional equation for f in n-Banach spaces.

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Veröffentlicht in:Axioms 2021-03, Vol.10 (1), p.2
Hauptverfasser: Choy, Jaeyoo, Chu, Hahng-Yun, Kim, Ahyoung
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
cubic mappings
Functional equations
Mathematical functions
n-Banach space
quartic mappings
the generalized Hyers–Ulam stability
Theorems
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Zusammenfassung:In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional equation for f in n-Banach spaces.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms10010002