If the fixed point equation Tx = x does not posses a
solution, then the natural interest is to
find an element x € X such that x is in proximity to Tx in
some sense. In other words, we would like to get a desirable estimate for the quantity d(x; Tx)
. In this paper, we prove best proximity point theorems for generalized rational proximal contraction of the first and second kinds. We also prove a best proximity point theorem for nonself mapping for generalized rational proximal contraction of the
first and second kinds without assuming the
continuity. Our results unify, generalize various
known comparable results from the current literature [6, 7] .