Title: Hyers-Ulam stability of isometries on bounded domains
Abstract: More than 20 years after Fickett attempted to prove the Hyers-Ulam stability of isometries defined on bounded subsets of $\mathbb{R}^n$ in 1981, Vaisala improved Fickett's result significantly. In this paper, we will improve Fickett's theorem by proving the Hyers-Ulam stability of isometries defined on bounded subsets of $\mathbb{R}^n$ using a more intuitive method different from that used by Vaisala.
Publication Year: 2021
Publication Date: 2021-05-01
Language: en
Type: preprint
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