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Springer Optimization and Its Applications

Optimization with Multivalued Mappings

Theory, Applications and Algorithms

Editors: Dempe, Stephan, Raskolnikova, Porfiria (Eds.)

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  • ISBN 978-0-387-34221-4
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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.

 

Audience

This book is intended for researchers, graduate students and practitioners in the fields of applied mathematics, operations research, and economics.

Table of contents (13 chapters)

Table of contents (13 chapters)
  • Optimality conditions for bilevel programming problems

    Pages 3-28

    Dempe, Stephan (et al.)

  • Path-based formulations of a bilevel toll setting problem

    Pages 29-50

    Didi-Biha, Mohamed (et al.)

  • Bilevel programming with convex lower level problems

    Pages 51-71

    Dutta, Joydeep (et al.)

  • Optimality criteria for bilevel programming problems using the radial subdifferential

    Pages 73-95

    Fanghänel, D.

  • On approximate mixed Nash equilibria and average marginal functions for two-stage three-players games

    Pages 97-107

    Mallozzi, Lina (et al.)

Buy this book

eBook n/a
  • ISBN 978-0-387-34221-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-0-387-34220-7
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-1-4419-4167-1
  • Free shipping for individuals worldwide

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Bibliographic Information

Bibliographic Information
Book Title
Optimization with Multivalued Mappings
Book Subtitle
Theory, Applications and Algorithms
Editors
  • Stephan Dempe
  • Porfiria Raskolnikova
Series Title
Springer Optimization and Its Applications
Series Volume
2
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-34221-4
DOI
10.1007/0-387-34221-4
Hardcover ISBN
978-0-387-34220-7
Softcover ISBN
978-1-4419-4167-1
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XII, 276
Number of Illustrations
16 b/w illustrations
Topics