A Weaker Condition for Stable Lagrange Duality in DC Conic Programming
Mengdan Wang
College of Mathematics and Statistics, Jishou University, Jishou 416000, P. R. China.
Donghui Fang *
College of Mathematics and Statistics, Jishou University, Jishou 416000, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Regular condition, Lagrange duality, Fenchel-Lagrange duality, DC conic programming.