Name
Abstract | ||
|---|---|---|
In this paper, we introduce the exact tangent approximation property for a convex set and provide its characterizations, including the nonzero extent of a convex set. We obtain necessary and sufficient conditions for the closedness of the positive hull of a convex set via a limit set defined by truncated upper level sets of the gauge function. We also apply the exact tangent approximation property to study the existence of a global error bound for a proper, lower semicontinuous and positively homogeneous function. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s10957-014-0582-y | J. Optimization Theory and Applications |
Keywords | Field | DocType |
49j52,support functions,49j53,tangent approximation,error bounds,positively homogeneous functions,gauge functions,positive hull,extent of a convex set | Absolutely convex set,Mathematical optimization,Mathematical analysis,Convex set,Convex hull,Subderivative,Convex curve,Tangent cone,Proper convex function,Convex analysis,Mathematics | Journal |
Volume | Issue | ISSN |
164 | 1 | 1573-2878 |
Citations | PageRank | References |
1 | 0.36 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kaiwen Meng | 1 | 1 | 0.36 |
| Vera Roshchina | 2 | 1 | 0.36 |
| Xiaoqi Yang | 3 | 126 | 20.85 |