Set-valued Optimization: An Introduction with Applications (Vector Optimization)

Khan, Akhtar A., Tammer, Christiane, Zalinescu, Constantin

ISBN 10: 3642542646 / ISBN 13: 9783642542640

Edité par Springer, 2014

A propos de cet article

Like New. N° de réf. du vendeur ERICA79036425426466

Détails bibliographiques

Titre : Set-valued Optimization: An Introduction ...

Éditeur : Springer

Date d'édition : 2014

Reliure : Hardcover

Etat : Like New

Type de livre : book

A propos de ce titre

Synopsis :

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.