|
|||||
|
|
On a convex set with nondifferentiable metric projection |
|
| Authors: | Shyan?S?Akmal |
| Institution: | 1.Fariborz Maseeh Department of Mathematics and Statistics,Portland State University,Portland,USA;2.CCQCN, Department of Physics,University of Crete,Heraklion,Greece |
| Abstract: | A remarkable example of a nonempty closed convex set in the Euclidean plane for which the directional derivative of the metric projection mapping fails to exist was constructed by A. Shapiro. In this paper, we revisit and modify that construction to obtain a convex set with \(C^{1,1}\) boundary which possesses the same property. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |