Duality in Vector Optimization

• Main Authors: Bot, Radu Ioan (Author), Grad, Sorin-Mihai (Author), Wanka, Gert (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Vector Optimization,
• Subjects: Mathematics.; Operations research.; Decision making.; Computer science > Mathematics.; Mathematical models.; Management science.; Mathematical Modeling and Industrial Mathematics.; Operations Research, Management Science.; Operation Research/Decision Theory.; Discrete Mathematics in Computer Science.

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:

• 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.