| Título: | On the stability of convex-valued mappings and their relative boundary and extreme point set mappings |
| Autores: |
Goberna Torrent, Miguel Ángel Todorov, Maxim I. Vera de Serio, Virginia N. |
| Fecha: |
2008-10-21 2008-10-21 2006 |
| Publicador: | RUA Docencia |
| Fuente: |
 |
| Tipo: | info:eu-repo/semantics/article |
| Tema: |
Stability theory Set-valued mappings Convex hull mappings Relative boundary mappings Extreme points set mappings Matemáticas |
| Descripción: |
This paper deals with the transmission of the main stability properties (lower and
upper semicontinuity in Berge sense, and closedness) from a given closed–convex-valued mapping to
its corresponding relative boundary and extreme point set mappings, and vice versa. The domain
of the mappings considered in this paper are locally metrizable spaces and the images range on
Euclidean spaces. Important examples of the class of mappings considered in this paper are the
feasible set mapping and the optimal set mapping of convex optimization problems, for which the
space of parameters is the result of perturbing a given nominal problem. MCYT of Spain and FEDER of EU, grant BMF2002-04114-C02-01; CONACyT of Mexico, grant 44003; SECYT-UNCuyo of Argentina, grant 987/02-R-04. |
| Idioma: | Inglés |
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