| 书目名称 | Vector Optimization | | 副标题 | Theory, Applications | | 编辑 | Johannes Jahn | | 视频video | | | 概述 | Very comprehensive, modern and application-oriented presentation of a general theory of vector optimization: The reader learns all important aspects of vector optimization and how to apply it to concr | | 图书封面 |  | | 描述 | In vector optimization one investigates optimal elements such as min imal, strongly minimal, properly minimal or weakly minimal elements of a nonempty subset of a partially ordered linear space. The prob lem of determining at least one of these optimal elements, if they exist at all, is also called a vector optimization problem. Problems of this type can be found not only in mathematics but also in engineer ing and economics. Vector optimization problems arise, for exam ple, in functional analysis (the Hahn-Banach theorem, the lemma of Bishop-Phelps, Ekeland‘s variational principle), multiobjective pro gramming, multi-criteria decision making, statistics (Bayes solutions, theory of tests, minimal covariance matrices), approximation theory (location theory, simultaneous approximation, solution of boundary value problems) and cooperative game theory (cooperative n player differential games and, as a special case, optimal control problems). In the last decade vector optimization has been extended to problems with set-valued maps. This new field of research, called set optimiza tion, seems to have important applications to variational inequalities and optimization problems with m | | 出版日期 | Book 20041st edition | | 关键词 | Convex Analysis; Derivative; Multiobjective Optimisation; Multiobjective Optimization; Optimality Condit | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-24828-6 | | isbn_ebook | 978-3-540-24828-6 | | copyright | Springer-Verlag Berlin Heidelberg 2004 |
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发表于 2025-3-21 18:37:16
