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

Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu, Constantin Zălinescu

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۴۹٬۰۰۰ تومان

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مشخصات کتاب

نویسنده
Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu, Constantin Zălinescu
ناشر
Springer Berlin Heidelberg : Imprint: Springer
سال انتشار
۲۰۱۵
فرمت
PDF
زبان
انگلیسی
حجم فایل
۴٫۶ مگابایت
شابک
9783642542640، 9783642542657، 9783642542664، 9783662510360، 3642542646، 3642542654، 3642542662، 3662510367

دربارهٔ کتاب

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.

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