| Article ID: | iaor2003746 |
| Country: | Germany |
| Volume: | 53 |
| Issue: | 3 |
| Start Page Number: | 403 |
| End Page Number: | 417 |
| Publication Date: | Jan 2001 |
| Journal: | Mathematical Methods of Operations Research (Heidelberg) |
| Authors: | Flores-Bazn F. |
The notion of radial epiderivative is introduced and then a necessary and sufficient condition for a point to be a weak minimal solution (weak-efficient solution) for a non-convex set-valued optimization problem is derived. Such a condition subsumes various necessary and/or sufficient conditions found in the literature for single-valued convex/non-convex mappings.