| Article ID: | iaor20132054 |
| Volume: | 7 |
| Issue: | 3 |
| Start Page Number: | 499 |
| End Page Number: | 510 |
| Publication Date: | Mar 2013 |
| Journal: | Optimization Letters |
| Authors: | Sun X, Li S |
| Keywords: | programming: convex |
In this paper, we deal with extended Ky Fan inequalities (EKFI) with DC functions. Firstly, a dual scheme for (EKFI) is introduced by using the method of Fenchel conjugate function. Under suitable conditions, weak and strong duality assertions are obtained. Then, by using the obtained duality assertions, some Farkas‐type results which characterize the optimal value of (EKFI) are given. Finally, as applications, the proposed approach is applied to a convex optimization problem (COP) and a generalized variational inequality problem (GVIP).