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Hyers–Ulam Stability of Isometries on Bounded Domains–III.
- Source :
-
Mathematics (2227-7390) . Jun2024, Vol. 12 Issue 12, p1784. 10p. - Publication Year :
- 2024
-
Abstract
- The question of whether there is a true isometry that approximates the ε -isometry defined on a bounded set has long interested mathematicians. The first paper on this topic was published by Fickett, whose result was subsequently greatly improved by Alestalo et al., Väisälä and Vestfrid. Recently, the authors published some papers improving the previous results. The main purpose of this paper is to improve all of the abovementioned results by utilizing the properties of the norm and inner product for Euclidean space. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 178195213
- Full Text :
- https://doi.org/10.3390/math12121784