Axioms (Dec 2020)

A Remark for the Hyers–Ulam Stabilities on <i>n</i>-Banach Spaces

  • Jaeyoo Choy,
  • Hahng-Yun Chu,
  • Ahyoung Kim

DOI
https://doi.org/10.3390/axioms10010002
Journal volume & issue
Vol. 10, no. 1
p. 2

Abstract

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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.

Keywords