Generalized minimax programming with nondifferentiable (G,β)-invexity

We consider the generalized minimax programming problem (p) in which functions are locally lipschitz (g,β)-invex. not only g -sufficient but also g -necessary optimality conditions are established for problem (p). with g -necessary optimality conditions and (g,β)-invexity on hand,we construct dual problem (di) for the primal one (p) and prove duality results between problems (p) and (di). these results extend several known results to a wider class of programs. © 2013 d. h. yuan and x. l. liu.