Duality in Vector Optimization

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Bot, Radu Ioan (Author), Grad, Sorin-Mihai (Author), Wanka, Gert (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edition:1st ed. 2009.
Series:Vector Optimization,
Subjects:
Mathematical models.
Operations research.
Management science.
Computer science-Mathematics.
Discrete mathematics.
Mathematical Modeling and Industrial Mathematics.
Operations Research, Management Science .
Operations Research and Decision Theory.
Discrete Mathematics in Computer Science.
Online Access:Texto Completo
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.

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