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.
1119570574
Set-valued Optimization: An Introduction with Applications
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.
109.99
In Stock
5
1
Set-valued Optimization: An Introduction with Applications
765
Set-valued Optimization: An Introduction with Applications
765Paperback(Softcover reprint of the original 1st ed. 2015)
$109.99
109.99
In Stock
Product Details
| ISBN-13: | 9783662510360 |
|---|---|
| Publisher: | Springer Berlin Heidelberg |
| Publication date: | 11/04/2015 |
| Series: | Vector Optimization |
| Edition description: | Softcover reprint of the original 1st ed. 2015 |
| Pages: | 765 |
| Product dimensions: | 6.10(w) x 9.25(h) x (d) |
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