A theorem on the existence of best approximation for an approximatively compact subset of a normed space is proved. The result herein contains a recent result of Prolla. In a recent paper, Prolla proved the following theorem: Theorem 1: Let M be a nonempty compact and convex subset of a normed space E and
be a continuous, almost affine and an onto mapping. Then for each continuous mapping
there exists an
. The purpose of this paper is to investigate result (1) when the subset M in Theorem 1 is an approximativelopriate to their result.