We show that if if is a nonempty closed convex subset of a real Hilbert space if, e is a non-zero arbitrary vector in H and for each t e M, z(t) is the closest point in K + te to the origin, then the angle z(t) makes with e is a decreasing function of t while z(t) j= 0, and the inner product of z{t) with e is increasing.
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