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New common best proximity point theorems in complete metric space with weak $P$-property | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1289-1297 اصل مقاله (335.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.18535.2020 | ||
| نویسندگان | ||
| Ali Ganjbakhsh Sanatee* 1؛ Mahdi Iranmanesh2 | ||
| 1Department of Mathematics, Quchan University of Technology, Quchan, Iran | ||
| 2Department of pure Mathematics, Shahrood University of Tehnology, Shahrood, Iran | ||
| تاریخ دریافت: 02 شهریور 1398، تاریخ بازنگری: 09 آبان 1398، تاریخ پذیرش: 10 آبان 1398 | ||
| چکیده | ||
| In this paper, we define $\phi$-contraction, after that; we obtained the common best proximity point results for different types of contractions in the setting of complete metric spaces by using weak p-property and proved the uniqueness of these points. Also, we presented an example to support our results. | ||
| کلیدواژهها | ||
| common best proximity point؛ weak $P$-property؛ $phi$-contraction | ||
| مراجع | ||
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