| Article ID: | iaor20118626 |
| Volume: | 150 |
| Issue: | 3 |
| Start Page Number: | 675 |
| End Page Number: | 682 |
| Publication Date: | Sep 2011 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Dancs S, Medvegyev P, Magyarkuti Gy |
| Keywords: | sets, programming: convex |
The purpose of this short technical note is to show that a locally convex topological vector space is normable, if and only if an important convergence theorem about closed and convex sets holds. This new assumption of normability is related to the problem of preservation of Hausdorff lower continuity of the intersection of Hausdorff lower continuous, closed and convex valued correspondences.