Remarks on the paper

	Remarks on the paper "Best proximity point theorem in higher dimensions with an application"
International Journal of Nonlinear Analysis and Applications
مقاله 25، دوره 14، شماره 4، تیر 2023، صفحه 333-336 اصل مقاله (311.01 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27496.3623
نویسندگان
Sumit Som¹؛ Moosa Gabeleh^* ²
¹Department of Mathematics, School of Basic and Applied Sciences, Adamas University, Barasat-700126, India
²Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
چکیده
Very recently S. Mondal et al. [Best proximity point theorem in higher dimensions with an application, Int. J. Nonlinear Anal. Appl. (2022) ] introduced the concept of $F_n$-contractions ($n\geq 2$) and investigated the existence and uniqueness of an $n$-tuple best proximity point for this class of mappings in the framework of metric spaces. In this paper, we prove that their main result is a straightforward consequence of the Banach contraction principle.
کلیدواژه‌ها
Best proximity point؛ $F_n$-contraction؛ weak $P$-property؛ $n$-tupled fixed point؛ $n$-tupled best proximity point
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Remarks on the paper "Best proximity point theorem in higher dimensions with an application"