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Vector Optimization and Monotone Operators via Convex Duality

Recent Advances

Sorin-Mihai Grad (Autor)

Buch | Softcover

XVII, 269 Seiten

2016 | Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-36190-1 (ISBN)

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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.

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).

Introduction and preliminaries.- Duality for scalar optimization problems.- Minimality concepts for sets.- Vector duality via scalarization for vector optimization problems.- General Wolfe and Mond-Weir duality.- Vector duality for linear and semidefinite vector optimization problems.- Monotone operators approached via convex Analysis.

Erscheinungsdatum	29.08.2016
Reihe/Serie	Vector Optimization
Zusatzinfo	XVII, 269 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Wirtschaft ► Allgemeines / Lexika
	Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
Schlagworte	business and management • Conjugacy • Continuous Optimization • Duality • Management Decision Making • Monotone Operators • Operational Research • Operation Research/Decision Theory • Optimization • Representative functions • Vector Optimization
ISBN-10	3-319-36190-2 / 3319361902
ISBN-13	978-3-319-36190-1 / 9783319361901
Zustand	Neuware