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Hyers-Ulam-Rassias stability of orthogonality equation on restricted domains | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 258، دوره 13، شماره 2، مهر 2022، صفحه 3213-3222 اصل مقاله (367.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23176.2487 | ||
| نویسندگان | ||
| Ginkyu Choi1؛ Soon-Mo Jung* 2 | ||
| 1Department of Electronic and Electrical Engineering, College of Science and Technology, Hongik University, 30016 Sejong, Republic of Korea | ||
| 2Mathematics Section, College of Science and Technology, Hongik University, 30016 Sejong, Republic of Korea | ||
| تاریخ دریافت: 18 اسفند 1399، تاریخ بازنگری: 28 فروردین 1400، تاریخ پذیرش: 21 اردیبهشت 1400 | ||
| چکیده | ||
| In this paper, we prove some theorems about the Hyers-Ulam-Rassias stability of linear isometries. In particular, this paper will address the stability of the orthogonality equation, $\langle f(x), f(y) \rangle = \langle x, y \rangle$, on the restricted domains. | ||
| کلیدواژه‌ها | ||
| Isometry؛ linear isometry؛ orthogonality equation؛ generalized orthogonality equation؛ Hyers-Ulam-Rassias stability؛ Hyers-Ulam stability | ||
| مراجع | ||
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