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Vector Optimization

Duality in Vector Optimization

Authors: Bot, Radu Ioan, Grad, Sorin-Mihai, Wanka, Gert

  • The reader gains a comprehensive view on duality for scalar, vector and set-valued optimization problems

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-642-02886-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-642-02885-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA in USD
  • ISBN 978-3-642-26936-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

From the reviews:

“This book is dedicated to duality in vector optimization and is largely based on the contribution of the authors to this field. The book is divided into 7 chapters; it also contains a list of symbols and notations, an index of terms and a bibliography with 210 titles. … We recommend this book to researchers in convex scalar and vector optimization.”­­­ (Constantin Zălinescu, Mathematical Reviews, Issue 2010 i)


Table of contents (7 chapters)

  • Introduction

    Boţ, Dr. Radu Ioan (et al.)

    Pages 1-7

  • Preliminaries on convex analysis and vector optimization

    Boţ, Dr. Radu Ioan (et al.)

    Pages 9-61

  • Conjugate duality in scalar optimization

    Boţ, Dr. Radu Ioan (et al.)

    Pages 63-121

  • Conjugate vector duality via scalarization

    Boţ, Dr. Radu Ioan (et al.)

    Pages 123-180

  • Conjugate duality for vector optimization problems with finite dimensional image spaces

    Boţ, Dr. Radu Ioan (et al.)

    Pages 181-247

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-642-02886-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-642-02885-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA in USD
  • ISBN 978-3-642-26936-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Duality in Vector Optimization
Authors
Series Title
Vector Optimization
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-02886-1
DOI
10.1007/978-3-642-02886-1
Hardcover ISBN
978-3-642-02885-4
Softcover ISBN
978-3-642-26936-3
Series ISSN
1867-8971
Edition Number
1
Number of Pages
XVI, 400
Topics