Set-valued Optimization: An Introduction with Applications

di Akhtar A. Khan (Autore)

Christiane Tammer (Autore)

Constantin Zalinescu (Autore)

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2016

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.

• Autore: Akhtar A. Khan, Christiane Tammer, Constantin Zalinescu
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Collana: Vector Optimization
• Anno: 2016
• Rilegatura: Paperback / softback
• Pagine: 765 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783662510360

Testo in English