A convergence result for an outer approximation scheme



Document title: A convergence result for an outer approximation scheme
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000310639
ISSN: 0101-8205
Authors: 1
2
Institutions: 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
Year:
Volumen: 22
Number: 3
Pages: 397-409
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract 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
Disciplines: Matemáticas,
Ciencias de la computación
Keyword: 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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