Article ID: | iaor2007426 |
Country: | United Kingdom |
Volume: | 55 |
Issue: | 3 |
Start Page Number: | 205 |
End Page Number: | 219 |
Publication Date: | Jun 2006 |
Journal: | Optimization |
Authors: | Still Georg, Lin Lai-Jin |
This article studies three classes of optimization problems with bilevel structure including mathematical programs with equilibrium constraints and semi-infinite problems. The main goal of this article is to provide results which establish the existence of feasible points of the problems. These results are based on the so-called KKM lemma. We are also interested in the convexity properties of these problems.