| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841490 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 7 Pages |
Abstract
In this paper we show that the positive semi-definiteness (PSD) of the Fréchet and/or Mordukhovich second-order subdifferentials can recognize the convexity of C1C1 functions. However, the PSD is insufficient for ensuring the convexity of a locally Lipschitz function in general. A complete characterization of strong convexity via the second-order subdifferentials is also given.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
N.H. Chieu, N.Q. Huy,