Duality in Vector Optimization

• Main Authors: Bot, Radu Ioan. (Author), Grad, Sorin-Mihai. (Author), Wanka, Gert. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Vector Optimization,
• Subjects: Mathematics.; Computational complexity.; Operations research.; Operations Research, Mathematical Programming.; Operations Research/Decision Theory.; Discrete Mathematics in Computer Science.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-02886-1

This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones...

Table of Contents:

• Introduction
• Preliminaries on convex analysis and vector optimization
• Conjugate duality in scalar optimization
• Conjugate vector duality via scalarization
• Conjugate duality for vector optimization problems with finite dimensional image spaces
• Wolfe and Mond-Weir duality concepts
• Duality for set-valued optimization problems based on vector conjugacy
• References
• List of symbols and notations
• Index.