AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (234.9 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Local stability of isometries on 4-dimensional Euclidean spaces

Soon-Mo Jung1, Jaiok Roh2( )
Nano Convergence Technology Research Institute, School of Semiconductor·Display Technology, Hallym University, Chuncheon 24252, Korea
Ilsong Liberal Art Schools (Mathematics), Hallym University, Chuncheon 24252, Korea
Show Author Information

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.

Keywords

isometryε-isometryHyers-Ulam stabilityFickett's theorem
CLC number: 39B62, 39B82, 46B04, 46C99

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 18403-18416
DOI: 10.3934/math.2024897

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Jung S-M, Roh J. Local stability of isometries on 4-dimensional Euclidean spaces. AIMS Mathematics, 2024, 9(7): 18403-18416. https://doi.org/10.3934/math.2024897

62

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 29 March 2024
Revised: 29 March 2024
Accepted: 13 May 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)