| Article ID: | iaor19992575 |
| Country: | Germany |
| Volume: | 48 |
| Issue: | 2 |
| Start Page Number: | 169 |
| End Page Number: | 179 |
| Publication Date: | Jan 1998 |
| Journal: | Mathematical Methods of Operations Research (Heidelberg) |
| Authors: | Borwein J.M., Jofr A. |
We establish, in infinite dimensional Banach space, a nonconvex separation property for general closed sets that is an extension of Hahn–Banach separation theorem. We provide some consequences in optimization, in particular the existence of singular multipliers, and show the relation of our property with the extremal principle of Mordukhovich.