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Best proximity point theorem in higher dimensions with an application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، Special Issue for selected papers of ICDACT-2021، خرداد 2022، صفحه 97-108 اصل مقاله (374.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6335 | ||
| نویسندگان | ||
| Saranan Mondal1؛ Supriti Laha1؛ Ankush Chanda* 2 | ||
| 1Department of Mathematics, National Institute of Technology, Durgapur, West Bengal, India | ||
| 2Department of Mathematics, Vellore Institute of Technology, Vellore, India | ||
| تاریخ دریافت: 21 مرداد 1400، تاریخ بازنگری: 29 آذر 1400، تاریخ پذیرش: 22 دی 1400 | ||
| چکیده | ||
| In this article, we introduce the notion of $F_n$-contractions $T:A^n\rightarrow B$ in standard metric spaces and explore the possibility of certain approximation results for these mappings. We prove the existence and uniqueness of $n$-tuple ($n \geq 2$) best proximity points of $F_n$-contractions, not necessarily continuous, using the weak $P$-property in complete metric spaces. Additionally, suitable examples are presented to substantiate our main results. Moreover, we anticipate a fixed point result to prove the existence and uniqueness of the solution for a type of integral equation to elucidate our obtained theorems. | ||
| کلیدواژه‌ها | ||
| $F_n$-contractions؛ best proximity points؛ $P$-property؛ weak $P$-property؛ $n$-tuple best proximity points | ||
| مراجع | ||
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