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Set-valued Optimization : An Introduction with Applications / by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu
(Vector Optimization. ISSN:1867898X)
版 | 1st ed. 2015. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2015 |
本文言語 | 英語 |
大きさ | XXII, 765 p. 29 illus : online resource |
著者標目 | *Khan, Akhtar A author Tammer, Christiane author Zălinescu, Constantin author SpringerLink (Online service) |
件 名 | LCSH:Mathematical optimization LCSH:Operations research LCSH:Management science LCSH:Game theory FREE:Optimization FREE:Operations Research and Decision Theory FREE:Continuous Optimization FREE:Operations Research, Management Science FREE:Game Theory |
一般注記 | Introduction -- Order Relations and Ordering Cones -- Continuity and Differentiability -- Tangent Cones and Tangent Sets -- Nonconvex Separation Theorems -- Hahn-Banach Type Theorems -- Hahn-Banach Type Theorems -- Conjugates and Subdifferentials -- Duality -- Existence Results for Minimal Points -- Ekeland Variational Principle -- Derivatives and Epiderivatives of Set-valued Maps -- Optimality Conditions in Set-valued Optimization -- Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities -- Numerical Methods for Solving Set-valued Optimization Problems -- Applications 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 HTTP:URL=https://doi.org/10.1007/978-3-642-54265-7 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783642542657 |
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EB00232947 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA402.5-402.6 DC23:519.6 |
書誌ID | 4000116565 |
ISBN | 9783642542657 |
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