書目名稱 | Vector Optimization | 副標(biāo)題 | Theory, Applications | 編輯 | Johannes Jahn | 視頻video | http://file.papertrans.cn/981/980842/980842.mp4 | 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 | 圖書封面 |  | 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 | 關(guān)鍵詞 | 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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