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Book synopsis

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 economics among other things.

Book details

Book category Books in English Mathematics & science Mathematics Optimization

• Full title: Set-valued Optimization
• Subtitle: An Introduction with Applications
• Author: Akhtar A. Khan, Christiane Tammer, Zalinescu, Constantin (Universitatea "Alexandru Ioan Cuza", Iasi, Romania)
• Language: English
• Binding: Paperback
• Number of pages: 765
• EAN: 9783662510360
• ISBN: 3662510367
• ID: 13513836
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 1175 g
• Dimensions: 235 × 155 × 41 mm
• Date of publishing: 03. August 2016

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