Key points are not available for this paper at this time.
Let A be a closed set of points in the n-dimensional euclidean space E n . If p and p 1 are points of E n such that 1.1 then p 1 is said to be point-wise closer than p to the set A. If p is such that there is no point p 1 which is point-wise closer than p to A , then p is called a closest point to the set A.
Motzkin et al. (Fri,) studied this question.