书目名称 | Vector Optimization | 副标题 | Theory, Applications | 编辑 | Johannes Jahn | 视频video | | 概述 | New edition of a standard monograph.Contains two new sections on the contribution of Edgeworth and Pareto.Updated bibliography.Includes supplementary material: | 图书封面 |  | 描述 | . 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.. | 出版日期 | Book 2011Latest edition | 版次 | 2 | doi | https://doi.org/10.1007/978-3-642-17005-8 | isbn_softcover | 978-3-642-42330-7 | isbn_ebook | 978-3-642-17005-8 | copyright | Springer-Verlag Berlin Heidelberg 2011 |
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