| Article ID: | iaor201111147 |
| Volume: | 151 |
| Issue: | 3 |
| Start Page Number: | 633 |
| End Page Number: | 645 |
| Publication Date: | Dec 2011 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Hu Hui, Wang Qing |
| Keywords: | Programming (cone) |
This article presents new conditions that ensure the closedness of a convex cone in terms of the end set and the extent of its generator. The results significantly extend the classic condition. The new closedness conditions are utilized to obtain a simple formula of the least global error bound and a suitable regularity condition of the set containment problem for sublinear functions.