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.
| Autorius: | Akhtar A. Khan, Constantin Z¿linescu, Christiane Tammer, |
| Serija: | Vector Optimization |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2016 |
| Knygos puslapių skaičius: | 788 |
| ISBN-10: | 3662510367 |
| ISBN-13: | 9783662510360 |
| Formatas: | 235 x 155 x 42 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
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