Set-valued Optimization
Khan, Akhtar A., Tammer, Christiane, Zalinescu, Constantin
Produktnummer:
184500982636104dee863016bab1f1804e
| Autor: | Khan, Akhtar A. Tammer, Christiane Zalinescu, Constantin |
|---|---|
| Themengebiete: | Hahn-Banach extension cone properties existence theorem minimal point nonconvex separation variational analysis |
| Veröffentlichungsdatum: | 28.10.2014 |
| EAN: | 9783642542640 |
| Sprache: | Englisch |
| Seitenzahl: | 765 |
| Produktart: | Gebunden |
| Verlag: | Springer Berlin |
| Untertitel: | An Introduction with Applications |
Produktinformationen "Set-valued Optimization"
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.
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