In this paper, a class of nondifferentiable DC programming with DC inequality and DC equality constraints are considered.Firstly, in terms of this special nondifferentiable DC constraint system, Revoltech an appropriate relaxed constant rank constraint qualification is proposed and used to deduce one necessary optimality condition.Then, by adopting the convexification technique, another necessary optimality condition Bee Products is obtained.
Further, combined with the conjugate theory, the zero duality gap properties between the pairs of Wolfe and Mond-Weir type primal-dual problems are characterized, respectively.