@article{Jung2024, 
author = {Soon-Mo Jung and Jaiok Roh},
title = {Local stability of isometries on    4-dimensional Euclidean spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {18403-18416},
keywords = {isometry, ε-isometry, Hyers-Ulam stability, Fickett's theorem},
url = {https://www.sciopen.com/article/10.3934/math.2024897},
doi = {10.3934/math.2024897},
abstract = {In 1982, Fickett attempted to prove the Hyers-Ulam stability of isometries defined on a bounded subset of              R        n  . In this paper, we applied an intuitive and efficient approach to prove the Hyers-Ulam stability of isometries defined on the bounded subset of              R        4  , and we significantly improved Fickett's theorem for the four-dimensional case.}
}