Suppose that G {x X : gj(x) with gj is quasi convex. Let x* G and λ

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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
E 1, Dg,[x*](x – x') <0

for every x ˆˆ G.

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