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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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Edition: | 2nd ed. 2011. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-642-17005-8 |
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| 100 | 1 | |a Jahn, Johannes. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Vector Optimization |h [electronic resource] : |b Theory, Applications, and Extensions / |c by Johannes Jahn. |
| 250 | |a 2nd ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a XV, 481 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 520 | |a 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. | ||
| 650 | 0 | |a Operations research. | |
| 650 | 0 | |a Decision making. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Management science. | |
| 650 | 1 | 4 | |a Operations Research/Decision Theory. |0 https://scigraph.springernature.com/ontologies/product-market-codes/521000 |
| 650 | 2 | 4 | |a Optimization. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M26008 |
| 650 | 2 | 4 | |a Operations Research, Management Science. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M26024 |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642170041 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642423307 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642170065 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-17005-8 |
| 912 | |a ZDB-2-SBE | ||
| 912 | |a ZDB-2-SXBM | ||
| 950 | |a Business and Economics (SpringerNature-11643) | ||
| 950 | |a Business and Management (R0) (SpringerNature-43719) | ||