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Set-valued Optimization An Introduction with Applications

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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Bibliographic Details
Main Authors: Khan, Akhtar A., Tammer, Christiane (Author), Zălinescu, Constantin (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2015, 2015
Edition:1st ed. 2015
Series:Vector Optimization
Subjects:
Operations Research, Management Science
Operations Research
Optimization
Management Science
Continuous Optimization
Game Theory
Mathematical Optimization
Operations Research And Decision Theory
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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