Optimization with Multivalued Mappings: Theory, Applications and Algorithms

Dempe, Stephan (Editor) / Kalashnikov, Vyacheslav (Editor)

ISBN 10: 1441941673 / ISBN 13: 9781441941671

Published by Springer US, 2006

About this Item

276 pages. 9.00x6.00x0.65 inches. In Stock.

Seller Inventory # x-1441941673

Bibliographic Details

• Title: Optimization with Multivalued Mappings: Theory, Applications and Algorithms
• Publisher: Springer US
• Publication Date: 2006
• Language: English
• ISBN 10: 1441941673
• ISBN 13: 9781441941671
• Binding: Paperback
• Condition: Brand New
• Weight: 0.5 kilograms

About this title

Synopsis

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.

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.