ENGLISH

Vector Optimization: Theory, Applications, and Extensions

By Johannes Jahn (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
9783540206156, 9783642170058, 3540206159
DOI
10.1007/978-3-642-17005-8
Open Library ID
OL9308995M
Language
english
Format
PDF
Filesize
2 MB (2477798 bytes)
Edition
2
Pages
481\498
Topic
Mathematics\\Optimization. Operations Research
Library
Kolxo3
Time added
2011-01-23 12:00:00
Mathematical ProgrammingOperations Research/Decision Theory; Optimization;

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.

Similar books