On the stability of the Motzkin representation of closed convex sets
| Contribuinte(s) |
Universidad de Alicante. Departamento de Estadística e Investigación Operativa Laboratorio de Optimización (LOPT) |
|---|---|
| Data(s) |
06/03/2014
06/03/2014
01/12/2013
|
| Resumo |
A set is called Motzkin decomposable when it can be expressed as the Minkowski sum of a compact convex set with a closed convex cone. This paper analyzes the continuity properties of the set-valued mapping associating to each couple (C,D) formed by a compact convex set C and a closed convex cone D its Minkowski sum C + D. The continuity properties of other related mappings are also analyzed. This work has been supported by MINECO of Spain, Grant MTM2011-29064-C03-02. |
| Identificador |
Set-Valued and Variational Analysis. 2013, 21(4): 635-647. doi:10.1007/s11228-013-0251-6 1877-0533 (Print) 1877-0541 (Online) http://hdl.handle.net/10045/35904 10.1007/s11228-013-0251-6 |
| Idioma(s) |
eng |
| Publicador |
Springer Netherlands |
| Relação |
http://dx.doi.org/10.1007/s11228-013-0251-6 |
| Direitos |
The original publication is available at www.springerlink.com info:eu-repo/semantics/openAccess |
| Palavras-Chave | #Motzkin decomposition #Minkowski sum #Stability #Estadística e Investigación Operativa |
| Tipo |
info:eu-repo/semantics/article |
