Authors:
- The reader will get a comprehensive view on duality for scalar, vector and set-valued optimization problems
- Includes supplementary material: sn.pub/extras
Part of the book series: Vector Optimization (VECTOROPT)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
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)
Authors and Affiliations
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Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany
Radu Ioan Bot, Gert Wanka
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Fak. Mathematik, TU Chemnitz, Chemnitz, Germany
Sorin-Mihai Grad
Bibliographic Information
Book Title: Duality in Vector Optimization
Authors: Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka
Series Title: Vector Optimization
DOI: https://doi.org/10.1007/978-3-642-02886-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-642-02885-4Published: 20 August 2009
Softcover ISBN: 978-3-642-26936-3Published: 14 March 2012
eBook ISBN: 978-3-642-02886-1Published: 12 August 2009
Series ISSN: 1867-8971
Series E-ISSN: 1867-898X
Edition Number: 1
Number of Pages: XVI, 400
Topics: Mathematical Modeling and Industrial Mathematics, Operations Research, Management Science, Operations Research/Decision Theory, Discrete Mathematics in Computer Science