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.