Vector Optimization and Monotone Operators via Convex Duality
ISBN:
978-3-319-08899-0
Auflage:
2015
Verlag:
Springer International Publishing
Land des Verlags:
Schweiz
Erscheinungsdatum:
17.09.2014
Reihe:
Vector Optimization
Format:
Hardcover
Seitenanzahl:
269
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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.
Biografische Anmerkung
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).
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Erscheinungsjahr:
2023