New results for the best proximity pair in cone Riesz space | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 163، دوره 13، شماره 2، مهر 2022، صفحه 2037-2041 اصل مقاله (331.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.17721.1958 | ||
| نویسندگان | ||
| Ali Asghar Sarvari1؛ Hamid Mazaheri Tehrani* 2؛ Hamid Reza Khademzadeh3 | ||
| 1Computer Geometry and Dynamical Systems Laboratory, Yazd University, Yazd, Iran | ||
| 2Faculty of Mathematics, Yazd University, Yazd, Iran | ||
| 3Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran | ||
| چکیده | ||
| In this paper, the best proximity pair problem is considered with a cone metric. the conditions for the existence and uniqueness of the best proximity pair problem is discussed by using interesting relationships in Riesz spaces. This problem is studied for $T$-absolutely direct sets. Also, given the conditions considered for this problem, it is shown for the cone cyclic contraction maps, the best proximity pair problem is uniquely solvable. | ||
| کلیدواژهها | ||
| The best proximity pair؛ Cone metric Riesz space؛ Order complete؛ Order convergence | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 44,355 تعداد دریافت فایل اصل مقاله: 50,785 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 721 |
| تعداد مقالات | 10,359 |
| تعداد مشاهده مقاله | 72,761,950 |
| تعداد دریافت فایل اصل مقاله | 64,423,369 |