Set-valued Optimization An Introduction with Applications /

• Main Authors: Khan, Akhtar A. (Author), Tammer, Christiane (Author), Zălinescu, Constantin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Series: Vector Optimization,
• Subjects: Mathematics.; Operations research.; Decision making.; Game theory.; Mathematical optimization.; Management science.; Optimization.; Operation Research/Decision Theory.; Continuous Optimization.; Operations Research, Management Science.; Game Theory, Economics, Social and Behav. Sciences.

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...

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.