Vector Optimization

Theory, Applications, and Extensions
2. Auflage 2011
ISBN: 978-3-642-17004-1
Verlag: Springer

Buch, Englisch, 481 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1930 g

Fundamentals and important results of vector optimization in a general setting are presented in this book. 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.

Zielgruppe

Research

Autoren/Hrsg.

Jahn, Johannes

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Operations Research

Inhaltsverzeichnis

I Convex Analysis. - II Theory of Vector Optimization. - III Mathematical Applications. - IV Engineering Applications. - V Extensions to Set Optimization.