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)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : Springer, [2015]
Colección:Vector optimization.
Temas:
Duality theory (Mathematics)
Mathematical optimization.
Set-valued maps.
Programming (Mathematics)
Search theory.
Mathematics.
Decision Theory
Mathematics
Optimization.
Operation Research/Decision Theory.
Continuous Optimization.
Operations Research, Management Science.
Game Theory, Economics, Social and Behav. Sciences.
Principe de dualité (Mathématiques)
Optimisation mathématique.
Applications multivoques.
Programmation (Mathématiques)
Théorie de la décision.
Mathématiques.
applied mathematics.
mathematics.
MATHEMATICS > Applied.
MATHEMATICS > Probability & Statistics > General.
Optimización matemática
Search theory
Mathematical optimization
Set-valued maps
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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