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.
Produkteigenschaften
- Artikelnummer: 9783662510360
- Medium: Buch
- ISBN: 978-3-662-51036-0
- Verlag: Springer
- Erscheinungstermin: 22.09.2016
- Sprache(n): Englisch
- Auflage: Softcover Nachdruck of the original 1. Auflage 2015
- Serie: Vector Optimization
- Produktform: Kartoniert, Previously published in hardcover
- Gewicht: 11694 g
- Seiten: 765
- Format (B x H x T): 155 x 235 x 42 mm
- Ausgabetyp: Kein, Unbekannt