Duality in Vector Optimization

This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Bot, Radu Ioan (Auteur), Grad, Sorin-Mihai (Auteur), Wanka, Gert (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Édition:1st ed. 2009.
Collection:Vector Optimization,
Sujets:
Mathematical models.
Operations research.
Management science.
Computer science-Mathematics.
Discrete mathematics.
Mathematical Modeling and Industrial Mathematics.
Operations Research, Management Science .
Operations Research and Decision Theory.
Discrete Mathematics in Computer Science.
Accès en ligne:Texto Completo
Description
Résumé:This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes. The monograph is closed with extensive considerations concerning conjugate duality for set-valued optimization problems.
Description matérielle:XVI, 400 p. online resource.
ISBN:9783642028861
ISSN:1867-898X

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