Remarks on the paper "Best proximity point theorem in higher dimensions with an application"

Very recently S. Mondal et al. [Best proximity point theorem in higher dimensions with an application, Int. J. Nonlinear Anal. Appl. (۲۰۲۲) ] introduced the concept of F_n-contractions (n\geq ۲) 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.

کلیدواژه ها:

best proximity point ، F_n-contraction ، weak P-property ، n-tupled fixed point ، n-tupled best proximity point