| 書目名稱 | Set-valued Optimization | | 副標題 | An Introduction with | | 編輯 | Akhtar A. Khan,Christiane Tammer,Constantin Z?line | | 視頻video | http://file.papertrans.cn/866/865788/865788.mp4 | | 概述 | The first book on the growing subject of set-valued optimization.A highly simplified introduction to many complex issues in set-valued and vector optimization.Most up-to-date results which were so far | | 叢書名稱 | Vector Optimization | | 圖書封面 |  | | 描述 | Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality and applications in economicsamong other things. | | 出版日期 | Book 2015 | | 關鍵詞 | Hahn-Banach extension; cone properties; existence theorem; minimal point; nonconvex separation; variation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-54265-7 | | isbn_softcover | 978-3-662-51036-0 | | isbn_ebook | 978-3-642-54265-7Series ISSN 1867-8971 Series E-ISSN 1867-898X | | issn_series | 1867-8971 | | copyright | Springer-Verlag Berlin Heidelberg 2015 |
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