On the improvement of Fickett’s theorem on bounded sets
Abstract Fickett proved the stability of isometries on bounded subsets of R n $\mathbb{R}^{n}$ for n ≥ 2 $n \ge 2$ . Jung then improved Fickett’s theorem for n ≥ 3 $n \ge 3$ . In this paper, we improve Fickett’s theorem for n = 2 $n = 2$ and improve Jung’s result for n = 3 $n = 3$ , by employing a f...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-01-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02752-w |