Vector Optimization: Theory, Applications, and Extensions
This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjec...
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2011
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/25337 |
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oai:scholar.dlu.edu.vn:DLU123456789-253372012-03-03T04:46:01Z Vector Optimization: Theory, Applications, and Extensions Jahn, Johannes Mathematics Operations Research Decision Theory This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning. This second edition contains new parts on the adaptive Eichfelder-Polak method, a concrete application to magnetic resonance systems in medical engineering and additional remarks on the contribution of F.Y. Edgeworth and V. Pareto. The bibliography is updated and includes more recent important publications. 2011-09-07T10:23:25Z 2011-09-07T10:23:25Z 2011 Book 978-3-642-17004-1 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/25337 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Mathematics Operations Research Decision Theory |
| spellingShingle |
Mathematics Operations Research Decision Theory Jahn, Johannes Vector Optimization: Theory, Applications, and Extensions |
| description |
This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning.
This second edition contains new parts on the adaptive Eichfelder-Polak method, a concrete application to magnetic resonance systems in medical engineering and additional remarks on the contribution of F.Y. Edgeworth and V. Pareto. The bibliography is updated and includes more recent important publications. |
| format |
Book |
| author |
Jahn, Johannes |
| author_facet |
Jahn, Johannes |
| author_sort |
Jahn, Johannes |
| title |
Vector Optimization: Theory, Applications, and Extensions |
| title_short |
Vector Optimization: Theory, Applications, and Extensions |
| title_full |
Vector Optimization: Theory, Applications, and Extensions |
| title_fullStr |
Vector Optimization: Theory, Applications, and Extensions |
| title_full_unstemmed |
Vector Optimization: Theory, Applications, and Extensions |
| title_sort |
vector optimization: theory, applications, and extensions |
| publisher |
Springer |
| publishDate |
2011 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/25337 |
| _version_ |
1819790503594426368 |