Optimality Conditions for Vector Optimization Problems
- First Online:
- Cite this article as:
- Huang, N.J., Li, J. & Wu, S.Y. J Optim Theory Appl (2009) 142: 323. doi:10.1007/s10957-009-9514-7
- 176 Downloads
In this paper, some necessary and sufficient optimality conditions for the weakly efficient solutions of vector optimization problems (VOP) with finite equality and inequality constraints are shown by using two kinds of constraints qualifications in terms of the MP subdifferential due to Ye. A partial calmness and a penalized problem for the (VOP) are introduced and then the equivalence between the weakly efficient solution of the (VOP) and the local minimum solution of its penalized problem is proved under the assumption of partial calmness.