Optimization with multivalued mappings : theory, applications, and algorithms

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...

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Bibliographische Detailangaben
1. Verfasser: Dempe, Stephan (HerausgeberIn)
Weitere Verfasser: Kalašnikov, Vladimir Vâčeslavovič, 1942-2001 (HerausgeberIn), Kalashnikov, Vyacheslav (HerausgeberIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: New York, NY : Springer US [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2006.
Schriftenreihe:Springer Optimization and Its Applications 2
Schlagworte:
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Anmerkung: Description d'après consultation du 15 avril 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Optimization with Multivalued Mappings, Texte imprimé, 9780387342207
• Optimization with Multivalued Mappings, Texte imprimé, 9781441941671
• Optimization with Multivalued Mappings, Texte imprimé, 9780387514048
• Optimization with Multivalued Mappings, Texte imprimé, 9780387342207
• Optimization with Multivalued Mappings, Texte imprimé, 9781441941671
• Optimization with Multivalued Mappings, Texte imprimé, 9780387514048
• Optimization with Multivalued Mappings, Texte imprimé, 9780387342207
Beschreibung
Zusammenfassung: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
Beschreibung:Description d'après consultation du 15 avril 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliographie:Notes bibliogr.
ISBN:0387342214
9780387342214
ISSN:1931-6836
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