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...
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| Hlavní autoři: | , , |
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| Médium: | Kniha |
| Jazyk: | English |
| Vydáno: |
Springer
2015
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| On-line přístup: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58415 |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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| Shrnutí: | 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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