Duality for almost convex optimization problems via the perturbation approach

Abstract. We deal with duality for almost convex finite dimensional optimization problems by means of the classical perturbation approach. To this aim some standard results from the convex analysis are extended to the case of almost convex sets and functions. The duality for some classes of primal-dual problems is derived as a special case of the general approach. The sufficient regularity conditions we need for guaranteeing strong duality are proved to be similar to the ones in the convex case. Keywords. almost convex sets, almost convex functions, conjugate functions, duality, perturbation approach AMS subject classification (2000). 26A51, 42A50, 49N15

• Type: Journal
• Year: 2008
• Where: JGO
• Authors: Radu Ioan Bot, Gábor Kassay, Gert Wanka
• Keywords: Classical Perturbation Approach, Convex Finite, JGO 2008, Perturbation Approach