NEW REGULARITY CONDITIONS FOR LAGRANGE AND FENCHEL-LAGRANGE DUALITY IN INFINITE DIMENSIONAL SPACES

摘要

We give new regularity conditions expressed via epigraphs that assure strong duality between a given primal convex optimization problem and its Lagrange and Fenchel-Lagrange dual problems, respectively, in infinite dimensional spaces. Moreover we completely characterize through equivalent statements the so-called stable strong duality between the initial problem and the mentioned duals