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Variable Ordering Structures in Vector Optimization

This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization problems with a vector-valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Eichfelder, Gabriele (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Vector Optimization,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Variable ordering structures
  • 2 Optimality concepts and their characterization
  • 3 Properties of cone-valued maps
  • 4 Linear scalarizations
  • 5 Nonlinear scalarizations
  • 6 Scalarization for variable orderings given by Bishop-Phelps cones
  • 7 Optimality conditions
  • 8 Duality results
  • 9 Numerical methods
  • 10 Outlook and further application areas.