Optimization with Multivalued Mappings: Theory, Applications and Algorithms
Language: English
Published by Springer US, 2006
Series: Book 1 of 176 - Springer Optimization and Its Applications
- Hardcover
- New
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Latest approaches and applications are discussedLatest approaches and applications are discussedIncludes supplementary material: sn.pub/extrasThis book focuses on the tremendous development that has taken place recently in the field.
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- Title
- Optimization with Multivalued Mappings: Theory, Applications and Algorithms
- Author
- Dempe, Stephan|Kalashnikov, Vyacheslav
- Publisher
- Springer US
- Publication year
- 2006
- Condition
- New
- Binding
- Gebunden
- Language
- English
- ISBN 10
- 0387342206
- ISBN 13
- 9780387342207
- Series
- Book 1 of 176: Springer Optimization and Its Applications
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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