Let the system g(x) ≥ 0 of inequalities imply f(x) ≥ v for x ∈ S when there is a u ≥ 0 such that ug(x) ≤ f(x) - v - α min{0, ug(x)} for all x ∈ S, where α ≥ 0.
Write the corresponding inference dual of (3.34).
Show that its solution provides a bound that is no better than that of the surrogate dual and no worse than that of the Lagrangean dual.