Set-valued Optimization: An Introduction with Applications - Constantin Z¿linescu,Akhtar A. Khan,Christiane Tammer
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Saadetis 12-18 tööpäeva jooksul
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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 ... Täielik kirjeldus
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Kirjeldus
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.
Lisateave
| Autor | Constantin Z¿linescu, Akhtar A. Khan, Christiane Tammer |
|---|---|
| Kirjastaja | Springer Berlin Heidelberg |
| Series | Vector Optimization |
| Väljalaskeaasta | 2016 |
| Kaanetüüp | Pehme kaanega |
| EAN | 9783662510360 |