Vector Optimization - Theory, Applications, and Extensions

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.

List of contents

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

Product details

• Authors: Johannes Jahn
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9783642423307
• ISBN: 978-3-642-42330-7
• No. of pages: 481
• Dimensions: 155 mm x 28 mm x 235 mm
• Weight: 759 g
• Illustrations: XV, 481 p.
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Social sciences, law, business > Business > General, dictionaries; Operations Research, C, Optimization, Business and Management, Operations Research/Decision Theory, Operations Research and Decision Theory, Management & management techniques, Operations Research, Management Science, Management decision making, Management science, Operational research, Decision Making, Mathematical optimization