Overview
- Latest approaches and applications are discussed
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 2)
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About this book
In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the subject. The new topics studied include the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the coderivative of Mordukhovich), the opening of new applications (e.g., the calibration of water supply systems), or the elaboration of new solution algorithms (e.g., smoothing methods).
The book is divided into three parts. The focus in the first part is on bilevel programming. The chapters in the second part contain investigations of mathematical programs with equilibrium constraints. The third part is on multivalued set-valued optimization. The chapters were written by outstanding experts in the areas of bilevel programming, mathematical programs with equilibrium (or complementarity) constraints (MPEC), and set-valued optimization problems.
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Table of contents (13 chapters)
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Front Matter
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Bilevel Programming
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Front Matter
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Mathematical Programs with Equilibrium Constraints
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Front Matter
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Editors and Affiliations
Bibliographic Information
Book Title: Optimization with Multivalued Mappings
Book Subtitle: Theory, Applications and Algorithms
Editors: Stephan Dempe, Vyacheslav Kalashnikov
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/0-387-34221-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-34220-7Published: 18 July 2006
Softcover ISBN: 978-1-4419-4167-1Published: 29 November 2010
eBook ISBN: 978-0-387-34221-4Published: 19 September 2006
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XII, 276
Number of Illustrations: 16 b/w illustrations
Topics: Optimization, Calculus of Variations and Optimal Control; Optimization