Suppose that G {x X : gj(x) with gj is quasi convex. Let x* G and λ Rm+ satisfy the complementary slackness conditions λjgj (x*)

Suppose that
G {x ˆˆ X : gj(x) with gj is quasi convex. Let x* ˆˆ G and λ ˆˆ Rm+ satisfy the complementary slackness conditions λjgj (x*) = 0 for every j = 1, 2, . . . ,m. Then

for every x ˆˆ G.

E 1, Dg,[x*](x x')