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...
Đã lưu trong:
| Những tác giả chính: | , , |
|---|---|
| 格式: | 图书 |
| 语言: | English |
| 出版: |
Springer
2015
|
| 主题: | |
| 在线阅读: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58415 |
| 标签: |
添加标签
没有标签, 成为第一个标记此记录!
|
| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
|---|
| 总结: | 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. |
|---|