Nonconvex theorems of the alternative and minimization
B. D. Craven, Joachim Gwinner, V. Jeyakumar · Optimization · 1987
Theorems of the alternative, in particular, Gordan and Motzkin type theorems for non-convex functions are presented, based on the Fuchssterner and König's extended minimax theorem. As applications of these theorems, optimality conditions and duality theorems are obtained for non-convex programming problems.