IR n exist points X* y* it be a regular correspondence. I, y* E > min. y*I . r(x*), such that, ==> J j x* = 0 It for each i = 1,2, ... , k. I is a compact and convex set, and r is a regular correspondence, Theorem 11,3,1 ensures the existence of points x* in S and y* in r(x*) such that, x* y* = min. I 55 k L x* Y* = (3i min. y~j j 1=1 that is, (x* y* + ... + x* 11 11 y* 1n(l) 1 n(l) ) + ... + (x* y* + ... + x* kl k 1 y* kn(k) kn(k) ) = = ex +a+ ... +Q:. 12k Now notice that for all i = 1,2, ...