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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bot, Radu Ioan (Autor), Grad, Sorin-Mihai (Autor), Wanka, Gert (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Vector Optimization,
Temas:
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.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XVI, 400 p. online resource.
ISBN:9783642028861
ISSN:1867-898X

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