| Article ID: | iaor20084141 |
| Country: | Singapore |
| Volume: | 24 |
| Issue: | 6 |
| Start Page Number: | 841 |
| End Page Number: | 854 |
| Publication Date: | Dec 2007 |
| Journal: | Asia-Pacific Journal of Operational Research |
| Authors: | Xu Yihong, Li Taiyong, Zhu Chuanxi |
| Keywords: | sets |
In this paper, the notion of ϵ-strictly efficient solution for vector optimization with set-valued maps is introduced. Under the assumption of the ic-cone-convexlikeness for set-valued maps, the scalarization theorem, ϵ-Lagrangian multiplier theorem, ϵ-saddle point theorems and ϵ-duality assertions are established for ϵ-strictly efficient solution.