| Article ID: | iaor19981833 |
| Volume: | 35 |
| Issue: | 6 |
| Start Page Number: | 2157 |
| End Page Number: | 2182 |
| Publication Date: | Nov 1997 |
| Journal: | SIAM Journal on Control and Optimization |
| Authors: | Yushkevich Alexander A. |
| Keywords: | programming: dynamic, optimization |
Necessary and sufficient conditions are obtained for the existence of ϵ-weak minima for constrained convex vector optimization problems. The characterization of ϵ-weak minima is given in terms of ϵ-optimal solutions of the associated scalar optimization problems and ϵ-directional derivatives of objective functions. The Lipschitzian continuity of ϵ-weak minima is provided under mild conditions.