Article ID: | iaor20091399 |
Country: | France |
Volume: | 42 |
Issue: | 2 |
Start Page Number: | 87 |
End Page Number: | 103 |
Publication Date: | Apr 2008 |
Journal: | RAIRO Operations Research |
Authors: | Mansouri Abdelatif, Aboussoror Abdelmalek |
Keywords: | programming (bilevel) |
In this paper, which is an extension of earlier work, we first show the existence of solutions to a class of Min Sup problems with linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel problems. Furthermore, for such a class of bilevel problems, we give a relationship with appropriate d.c. problems concerning the existence of solutions.