Set-valued Optimization : An Introduction with Applications PDF
by Akhtar A. Khan, Christiane Tammer, Constantin Zalinescu
Part of the Vector Optimization series
Description
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.
Information
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Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:20/10/2014
- Category:
- ISBN:9783642542657
Other Formats
- Hardback from £73.75
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Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:20/10/2014
- Category:
- ISBN:9783642542657