Article ID: | iaor20097201 |
Country: | Netherlands |
Volume: | 42 |
Issue: | 3 |
Start Page Number: | 385 |
End Page Number: | 399 |
Publication Date: | Nov 2008 |
Journal: | Journal of Global Optimization |
Authors: | Wanka Gert, Kassay Gbor, Bot Radu Ioan |
Keywords: | duality |
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.