Set-valued Optimization
Autor: | Khan, Akhtar A. Tammer, Christiane Z¿linescu, Constantin |
---|---|
EAN: | 9783642542640 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 788 |
Produktart: | Gebunden |
Veröffentlichungsdatum: | 28.10.2014 |
Untertitel: | An Introduction with Applications |
Schlagworte: | Entscheidungstheorie Operations Research Optimierung Spieltheorie Unternehmensforschung |
106,99 €*
Die Verfügbarkeit wird nach ihrer Bestellung bei uns geprüft.
Bücher sind in der Regel innerhalb von 1-2 Werktagen abholbereit.
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.