| Article ID: | iaor20124144 |
| Volume: | 53 |
| Issue: | 2 |
| Start Page Number: | 285 |
| End Page Number: | 296 |
| Publication Date: | Jun 2012 |
| Journal: | Journal of Global Optimization |
| Authors: | Mishra S, Jaiswal M, Le Thi H |
| Keywords: | programming: nonlinear |
In this paper, we establish necessary and sufficient optimality conditions for nonsmooth semi‐infinite programming problem using the powerful tool of limiting subdifferentials. We also formulate Wolfe and Mond‐Weir type duals for nonsmooth semi‐infinite programming problem and establish weak, strong and strict converse duality theorems for semi‐infinite programming problem and the corresponding dual problems.