Optimality and Duality for DC Programming with DC Inequality and DC Equality Constraints

Optimality and Duality for DC Programming with DC Inequality and DC Equality Constraints

Blog Article

In this paper, a class of nondifferentiable DC programming with DC inequality and DC equality Spacer Nylon constraints are considered.Firstly, in terms of this special nondifferentiable DC constraint system, 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 is obtained.Further, combined with Cereal Bowls the conjugate theory, the zero duality gap properties between the pairs of Wolfe and Mond-Weir type primal-dual problems are characterized, respectively.