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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2015
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oai:scholar.dlu.edu.vn:DLU123456789-584152023-11-11T06:10:18Z Set-valued Optimization: An Introduction with Applications Khan, Akhtar A Tammer, Christiane Zălinescu, Constantin Set-valued maps Mathematical optimization Duality theory 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. 2015-09-22T02:16:31Z 2015-09-22T02:16:31Z 2015 Book 978-3-642-54265-7 978-3-642-54264-0 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58415 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Set-valued maps Mathematical optimization Duality theory |
| spellingShingle |
Set-valued maps Mathematical optimization Duality theory Khan, Akhtar A Tammer, Christiane Zălinescu, Constantin Set-valued Optimization: An Introduction with Applications |
| 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 economics among other things. |
| format |
Book |
| author |
Khan, Akhtar A Tammer, Christiane Zălinescu, Constantin |
| author_facet |
Khan, Akhtar A Tammer, Christiane Zălinescu, Constantin |
| author_sort |
Khan, Akhtar A |
| title |
Set-valued Optimization:
An Introduction with Applications |
| title_short |
Set-valued Optimization:
An Introduction with Applications |
| title_full |
Set-valued Optimization:
An Introduction with Applications |
| title_fullStr |
Set-valued Optimization:
An Introduction with Applications |
| title_full_unstemmed |
Set-valued Optimization:
An Introduction with Applications |
| title_sort |
set-valued optimization:
an introduction with applications |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58415 |
| _version_ |
1782532525089882112 |