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Titlebook: Convexity and Optimization in Banach Spaces; Viorel Barbu,Teodor Precupanu Book 2012Latest edition Springer Science+Business Media B.V. 20

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发表于 2025-3-21 16:12:55 | 显示全部楼层 |阅读模式
书目名称Convexity and Optimization in Banach Spaces
编辑Viorel Barbu,Teodor Precupanu
视频video
概述This book provides a strong emphasis on the link between abstract theory and applications to convex optimization.Chapters end with an informative ‘bibliographic notes’ section for further reading.Incl
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Convexity and Optimization in Banach Spaces;  Viorel Barbu,Teodor Precupanu Book 2012Latest edition Springer Science+Business Media B.V. 20
描述An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the connection between theory and application. This edition has been updated to include new results pertaining to advanced concepts of subdifferential for convex functions and new duality results in convex programming. The last chapter, concerned with convex control problems, has been rewritten and completed with new research concerning boundary control systems, the dynamic programming equations in optimal control theory and periodic optimal control problems. Finally, the structure of the book has been modified to highlight the most recent progression in the field including fundamental results on the theory of infinite-dimensional convex analysis and includes helpful bibliographical notes at the end of each chapter.
出版日期Book 2012Latest edition
关键词banach spaces; convex function; convex set; duality theory; optimal control problem; subdifferential
版次4
doihttps://doi.org/10.1007/978-94-007-2247-7
isbn_softcover978-94-017-8241-8
isbn_ebook978-94-007-2247-7Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Science+Business Media B.V. 2012
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发表于 2025-3-21 22:36:16 | 显示全部楼层
发表于 2025-3-22 02:40:33 | 显示全部楼层
Viorel Barbu,Teodor PrecupanuThis book provides a strong emphasis on the link between abstract theory and applications to convex optimization.Chapters end with an informative ‘bibliographic notes’ section for further reading.Incl
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发表于 2025-3-22 12:18:16 | 显示全部楼层
https://doi.org/10.1007/978-94-007-2247-7banach spaces; convex function; convex set; duality theory; optimal control problem; subdifferential
发表于 2025-3-22 16:23:39 | 显示全部楼层
978-94-017-8241-8Springer Science+Business Media B.V. 2012
发表于 2025-3-22 17:42:13 | 显示全部楼层
Convex Functions, topic, however, is the concept of . and its relationship to maximal monotone operators. In addition, concave–convex functions are examined because of their importance in the duality theory of minimization problems as well as in min-max problems.
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