Set-valued Optimization An Introduction with Applications /

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Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Khan, Akhtar A. (Autor), Tammer, Christiane (Autor), Zălinescu, Constantin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Vector Optimization,
Temas:
Mathematical optimization.
Operations research.
Management science.
Game theory.
Optimization.
Operations Research and Decision Theory.
Continuous Optimization.
Operations Research, Management Science .
Game Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Order Relations and Ordering Cones
  • Continuity and Differentiability
  • Tangent Cones and Tangent Sets
  • Nonconvex Separation Theorems
  • Hahn-Banach Type Theorems
  • Hahn-Banach Type Theorems
  • Conjugates and Subdifferentials
  • Duality
  • Existence Results for Minimal Points
  • Ekeland Variational Principle
  • Derivatives and Epiderivatives of Set-valued Maps
  • Optimality Conditions in Set-valued Optimization
  • Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities
  • Numerical Methods for Solving Set-valued Optimization Problems
  • Applications.

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