Overview
- New edition of a standard monograph
- Contains two new sections on the contribution of Edgeworth and Pareto
- Updated bibliography
- Includes supplementary material: sn.pub/extras
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Table of contents (17 chapters)
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Front Matter
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Convex Analysis
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Front Matter
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Theory of Vector Optimization
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Front Matter
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Mathematical Applications
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Front Matter
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Engineering Applications
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Front Matter
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Extensions to Set Optimization
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Front Matter
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About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Vector Optimization
Book Subtitle: Theory, Applications, and Extensions
Authors: Johannes Jahn
DOI: https://doi.org/10.1007/978-3-642-17005-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Business and Economics, Business and Management (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Hardcover ISBN: 978-3-642-17004-1Published: 02 December 2010
Softcover ISBN: 978-3-642-42330-7Published: 14 October 2014
eBook ISBN: 978-3-642-17005-8Published: 22 November 2010
Edition Number: 2
Number of Pages: XV, 481
Topics: Operations Research/Decision Theory, Optimization, Operations Research, Management Science