| Article ID: | iaor20113702 |
| Volume: | 49 |
| Issue: | 4 |
| Start Page Number: | 713 |
| End Page Number: | 725 |
| Publication Date: | Apr 2011 |
| Journal: | Journal of Global Optimization |
| Authors: | Kanzi Nader |
| Keywords: | Programming (semi-infinite) |
In this paper, for a nonsmooth semi‐infinite programming problem where the objective and constraint functions are locally Lipschitz, analogues of the Guignard, Kuhn‐Tucker, and Cottle constraint qualifications are given. Pshenichnyi‐Levin‐Valadire property is introduced, and Karush‐Kuhn‐Tucker type necessary optimality conditions are derived.