Optimization with Multivalued Mappings

. Ed(s): Dempe, Stephan; Raskolnikova, Porfiria; Kalashnikov, Vyacheslav

ISBN 10: 0387342206 / ISBN 13: 9780387342207

Edité par Springer-Verlag New York Inc., 2006

Focuses on the developments that have taken place in the field of nondifferentiable nonconvex optimization. This title includes the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings, the opening of new applications, and the elaboration of new solution algorithms. Editor(s): Dempe, Stephan; Raskolnikova, Porfiria; Kalashnikov, Vyacheslav. Series: Springer Optimization and its Applications. Num Pages: 288 pages, 16 black & white illustrations, 16 black & white tables, biography. BIC Classification: PBKQ; PBU. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 586. . 2006. Hardback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780387342207

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.

Détails bibliographiques

Titre : Optimization with Multivalued Mappings
Éditeur : Springer-Verlag New York Inc.
Date d'édition : 2006
Reliure : Couverture rigide
Etat : New