A convergence result for an outer approximation scheme



Título del documento: A convergence result for an outer approximation scheme
Revue: Computational & applied mathematics
Base de datos: PERIÓDICA
Número de sistema: 000310639
ISSN: 0101-8205
Autores: 1
2
Instituciones: 1Universidade Federal do Rio de Janeiro, Instituto Alberto Luiz Coimbra de Pos-Graduacao e Pesquisa de Engenharia, Rio de Janeiro. Brasil
2Universidade Federal do Piaui, Departamento de Matematicas, Bom Jesus, Piaui. Brasil
Año:
Volumen: 22
Número: 3
Paginación: 397-409
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés In this work we study the variational inequality problem in finite dimensional spaces. The constraint set we consider has the structure of semi-infinite programming. Standard convergence analysis for outer approximation methods includes boundedness of the constraint set, or, alternatively, coerciveness of the data. Using recession tools, we are able to replace these assumptions by the hypotheses of boundedness of the solution set and that the domain of the operator contains the constraint set
Disciplinas: Matemáticas,
Ciencias de la computación
Palabras clave: Matemáticas puras,
Espacios de Banach,
Operadores monótonos máximos,
Programas semi-infinitos
Keyword: Mathematics,
Computer science,
Pure mathematics,
Maximal monotone operators,
Banach spaces,
Semi-infinite programs
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