Vector Optimization

Duality in Vector Optimization

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

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

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eBook 107,09 €
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  • ISBN 978-3-642-02886-1
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Hardcover 135,19 €
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  • ISBN 978-3-642-02885-4
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Softcover 135,19 €
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  • ISBN 978-3-642-26936-3
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  • The final prices may differ from the prices shown due to specifics of VAT rules
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)

Table of contents (7 chapters)

Buy this book

eBook 107,09 €
price for Spain (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 135,19 €
price for Spain (gross)
  • ISBN 978-3-642-02885-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-642-26936-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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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