Vector Optimization and Monotone Operators via Convex Duality Recent Advances /

• Main Author: Grad, Sorin-Mihai (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Vector Optimization,
• Subjects: 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...

Table of Contents:

• 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.