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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Jahn, Johannes (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Jahn, Johannes.  |e author. 
245 1 0 |a Vector Optimization  |h [electronic resource] :  |b Theory, Applications, and Extensions /  |c by Johannes Jahn. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2011. 
300 |a XV, 481 p.  |b online resource. 
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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 Business. 
650 0 |a Operations research. 
650 0 |a Decision making. 
650 0 |a Mathematical optimization. 
650 0 |a Management science. 
650 1 4 |a Business and Management. 
650 2 4 |a Operation Research/Decision Theory. 
650 2 4 |a Optimization. 
650 2 4 |a Operations Research, Management Science. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783642170041 
856 4 0 |u http://dx.doi.org/10.1007/978-3-642-17005-8  |z Full Text via HEAL-Link 
912 |a ZDB-2-SBE 
950 |a Business and Economics (Springer-11643)