  In the year 2021, Beg et al. \cite{beg} [J. Fixed Point Theory Appl.(2021)]
introduced two classes of non-self mappings namely, generalized $F$-proximal
contraction of the first kind and generalized $F$-proximal contraction of the
second kind. Then authors studied the existence and uniqueness of best
proximity points for this two classes of mappings. In this short note, we show
that the existence of best proximity point for generalized $F$-proximal
contraction of the first kind follows from the same conclusion in fixed point
theory.
