In this work we study a relative Chebyshev center of K with respect to
Y, where K is a closed bounded convex subset of a Hilbert space X, an
d Y is a closed convex subset of X. Solne results of Amir and Mach [J.
Approx. Theory 40, (1984), 364-374] are extended. (C) 1997 Academic P
ress.