Article ID: | iaor2006600 |
Country: | Germany |
Volume: | 127 |
Issue: | 1 |
Start Page Number: | 45 |
End Page Number: | 70 |
Publication Date: | Oct 2005 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Wanka G., Bot R.I., Kassay G. |
Keywords: | sets |
In this paper, strong duality for nearly-convex optimization problems is established. Three kinds of conjugate dual problems are associated with the primal optimization problem: the Lagrange dual, Fenchel dual, and Fenchel–Lagrange dual problems. The main result shows that, under suitable conditions, the optimal objective values of these four problems coincide.