Abstract
Considering a general vector optimization problem, we attach to it by means of perturbation theory new vector duals. When the primal problem and the perturbation function are particularized different vector dual problems are obtained. In the special case of a constrained vector optimization problem the classical Wolfe and Mond-Weir duals to the latter, respectively, can be obtained from the general ones by using the Lagrange perturbation.
| Original language | English |
|---|---|
| Pages (from-to) | 81-101 |
| Number of pages | 21 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 12 |
| Issue number | 1 |
| Publication status | Published - 1 Apr 2011 |
| Externally published | Yes |
Keywords
- Conjugate functions
- Convex subdifferentials
- Mond-Weir duality
- Vector duality
- Wolfe duality