Vector Optimization and Monotone Operators via Convex Duality Recent Advances /

• Κύριος συγγραφέας: Grad, Sorin-Mihai (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Vector Optimization,
• Θέματα: Business.; Operations research.; Decision making.; Mathematical optimization.; Business and Management.; Operation Research/Decision Theory.; Optimization.; Continuous Optimization.

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 addr...

Πίνακας περιεχομένων:

• 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.