Set-valued Optimization: An Introduction with Applications (Vector Optimization)

Khan, Akhtar A. A.; Tammer, Christiane; Z?linescu, Constantin

ISBN 10: 3662510367 / ISBN 13: 9783662510360

Verlag: Springer, 2016

Beschreibung

Bestandsnummer des Verkäufers ABLIING23Mar3113020315877

Bibliografische Details

• Titel: Set-valued Optimization: An Introduction with Applications (Vector Optimization)
• Verlag: Springer
• Erscheinungsjahr: 2016
• Sprache: Englisch
• ISBN-10: 3662510367
• ISBN-13: 9783662510360
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.