On the stability of convex-valued mappings and their relative boundary and extreme point set mappings
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http://hdl.handle.net/10045/8151
| Títol: | On the stability of convex-valued mappings and their relative boundary and extreme point set mappings |
|---|---|
| Autors: | Goberna, Miguel A. | Todorov, Maxim I. | Vera de Serio, Virginia N. |
| Grups d'investigació o GITE: | Programación Semi-infinita |
| Centre, Departament o Servei: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa | Universidad de las Américas Puebla. Departamento de Física y Matemáticas | Universidad Nacional de Cuyo. Facultad de Económicas |
| Paraules clau: | Stability theory | Set-valued mappings | Convex hull mappings | Relative boundary mappings | Extreme points set mappings |
| Àrees de coneixement: | Matemáticas |
| Data de publicació: | 2006 |
| Editor: | Society for Industrial and Applied Mathematics |
| Citació bibliogràfica: | GOBERNA TORRENT, Miguel Ángel; TODOROV, Maxim I.; VERA DE SERIO, Virginia N. "On the stability of convex-valued mappings and their relative boundary and extreme point set mappings". SIAM Journal on Optimization. Vol. 17, No. 1 (2006). ISSN 1052-6234, pp. 147-158 |
| Resum: | 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. |
| Patrocinadors: | 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. |
| URI: | http://hdl.handle.net/10045/8151 |
| ISSN: | 1052-6234 (Print) | 1095-7189 (Online) |
| DOI: | 10.1137/050632476 |
| Idioma: | eng |
| Tipus: | info:eu-repo/semantics/article |
| Drets: | ©2006 Society for Industrial and Applied Mathematics |
| Revisió científica: | si |
| Apareix a la col·lecció: | INV - LOPT - Artículos de Revistas |
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