Set-Valued Optimization: An Introduction with Applications

By Akhtar A. Khan, Christiane Tammer, Constantin Zalinescu, et al.

Book Overview

Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality and applications in economicsamong other things.

• Format: Paperback
• Language: English
• ISBN: 3662510367
• ISBN13: 9783662510360
• Release Date: September 2016
• Publisher: Springer
• Length: 765 Pages
• Weight: 2.39 lbs.
• Dimensions: 1.6" x 6.1" x 9.2"