Interior sphere condition for the graph of a multifunction (Q742199)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Interior sphere condition for the graph of a multifunction |
scientific article; zbMATH DE number 6345547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interior sphere condition for the graph of a multifunction |
scientific article; zbMATH DE number 6345547 |
Statements
Interior sphere condition for the graph of a multifunction (English)
0 references
18 September 2014
0 references
By introducing the notion of proximal-pseudo-differentiability for multifunctions, the authors prove the equivalence between the pointwise interior sphere condition of a multifunction and the interior sphere condition of its graph. This equivalence will open an ability for extending the semiconcavity results by \textit{C. Nour} and \textit{R. J. Stern} [Syst. Control Lett. 57, No. 10, 863--866 (2008; Zbl 1162.49021)] to the nonlinear case.
0 references
multifunctions
0 references
interior sphere condition
0 references
proximal-pseudo-differentiability
0 references
nonsmooth analysis
0 references
0 references
0 references
