Closedness of a Convex Cone and Application by Means of the End Set of a Convex Set |
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| Authors: | Hui Hu Qing Wang |
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| Affiliation: | 1.Department of Mathematical Sciences,Northern Illinois University,DeKalb,USA;2.The World Gates, Inc.,Alpharetta,USA |
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| Abstract: | 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. |
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