THE STABLE DUALITY OF DC PROGRAMS FOR COMPOSITE CONVEX FUNCTIONS

摘要

In this paper, we consider a composite DC optimization problem with a cone-convex system in locally convex Hausdorff topological vector spaces. By using the properties of the epigraph of the conjugate functions, some necessary and sufficient conditions which characterize the strong FenchelLagrange duality and the stable strong Fenchel-Lagrange duality are given. We apply the results obtained to study the minmax optimization problem and l(1) penalty problem.