Name
Title | ||
|---|---|---|
Metric subregularity and/or calmness of the normal cone mapping to the p-order conic constraint system |
Abstract | ||
|---|---|---|
For a finite convex function, we show that its subdifferential mapping is metrically subregular if and only if the normal cone mapping to its epigraph is metrically subregular. Then, for the nonconvex composition psi = theta circle G where G is a continuously differentiable mapping and theta is an extended real-valued function, we develop a criterion to identify the metric subregularity and calmness of the subdifferential mapping of psi in terms of that of the subdifferential mapping of theta. Together with the existing results, we obtain the metric subregularity of the normal cone mapping to the vector and matrix p-order cone K-p and the conic constraint system g(-1)(K-p) with p is an element of [1, 2] boolean OR {+infinity}, where g is a continuously differentiable mapping. We also establish the calmness of the normal cone mapping to K-p and g(-1)(K-p) with p is an element of [2, +infinity] boolean OR {1}. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s11590-018-1373-4 | OPTIMIZATION LETTERS |
Keywords | Field | DocType |
Normal cone mapping,p-Order cone constraint systems,Metric subregularity,Calmness | Combinatorics,Mathematical analysis,Matrix (mathematics),Subderivative,Convex function,Calmness,Epigraph,Smoothness,Conic section,Mathematics,Convex cone | Journal |
Volume | Issue | ISSN |
13.0 | 5.0 | 1862-4472 |
Citations | PageRank | References |
0 | 0.34 | 15 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ying Sun | 1 | 291 | 40.03 |
| Shaohua Pan | 2 | 146 | 15.35 |
| Shujun Bi | 3 | 18 | 4.33 |