Duality in Vector Optimization

  • Radu Ioan Bot
  • Sorin-Mihai Grad
  • Gert Wanka

Part of the Vector Optimization book series (VECTOROPT)

Table of contents

  1. Front Matter
    Pages 1-14
  2. Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
    Pages 1-7
  3. Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
    Pages 9-61
  4. Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
    Pages 63-121
  5. Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
    Pages 123-180
  6. Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
    Pages 181-247
  7. Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
    Pages 249-309
  8. Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
    Pages 311-383
  9. Back Matter
    Pages 1-15

About this book

Introduction

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 a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set-valued optimization problems.

Keywords

Conjugacy Duality Optimality Conditions Set-Valued Analysis Subdifferentiability Vector optimization optimization

Authors and affiliations

  • Radu Ioan Bot
    • 1
  • Sorin-Mihai Grad
    • 2
  • Gert Wanka
    • 3
  1. 1.Faculty of MathematicsChemnitz University of TechnologyChemnitzGermany
  2. 2.Fak. MathematikTU ChemnitzChemnitzGermany
  3. 3.Faculty of MathematicsChemnitz University of TechnologyChemnitzGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-02886-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-02885-4
  • Online ISBN 978-3-642-02886-1
  • Series Print ISSN 1867-8971
  • Series Online ISSN 1867-898X
  • About this book