Vector Optimization and Monotone Operators via Convex Duality : Recent Advances

Grad, Sorin-Mihai

ISBN 10: 3319361902 / ISBN 13: 9783319361901

Editore: Springer, 2016

Zustand: Sehr gut | Seiten: 288 | Sprache: Englisch | Produktart: Bücher | This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators. Codice articolo 27118486/12

Riassunto:

This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.

Informazioni sull'autore: Sorin-Mihai Grad is currently working within the Faculty of Mathematics of Chemnitz University of Technology, Germany, where he achieved his PhD in 2006 and his Habilitation in 2014. He is co-author of the book "Duality in Vector Optimization" (Springer, 2009).

Dati bibliografici

Titolo: Vector Optimization and Monotone Operators ...
Casa editrice: Springer
Data di pubblicazione: 2016
Legatura: Brossura
Condizione: Sehr gut