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Existence of farthest points in Hilbert spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 437-446 اصل مقاله (363.59 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.17319.1922 | ||
| نویسندگان | ||
| Hamid Mazaheri Tehrani* 1؛ Raham Rahmani Jafarbeigi2 | ||
| 1Faculty of Mathematics, Yazd University, Yazd, Iran | ||
| 2Faculty of Mathematics , Yazd University , Yazd , Iran | ||
| تاریخ دریافت: 08 اسفند 1397، تاریخ بازنگری: 21 آبان 1398، تاریخ پذیرش: 01 آذر 1398 | ||
| چکیده | ||
| Let $H$ be a real Hilbert space with the inner product $<.,.>$ and the norm $\|\cdot\|$. In this paper, we introduce hybrid algorithms for generating cyclic, non-expansive mapping of H. Also, we discuss about necessary and sufficient conditions on subsets of Hilbert space to be remotal or uniquely remotal. Moreover, we give the basic concepts and theorems of farthest points of Bounded subsets of H. In the end, we will provide examples to illustrate our results. | ||
| کلیدواژه‌ها | ||
| Best proximity point, Non-expansive mapping, F-property؛ Farthest point | ||
| مراجع | ||
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