A Weaker Condition for Stable Lagrange Duality in DC Conic Programming

We consider the DC conic programming in locally convex Hausdorff vector spaces. By using the infimal convolution of the conjugate functions, we present a new regularity condition, which turns out to be weaker than the regularity conditions given so far in the literature. Moreover, it provides a sufficient and necessary condition for the stable Lagrange duality for the DC conic programming.