| 書目名稱 | Convex Analysis and Beyond |
| 副標題 | Volume I: Basic Theo |
| 編輯 | Boris S. Mordukhovich,Nguyen Mau Nam |
| 視頻video | http://file.papertrans.cn/238/237820/237820.mp4 |
| 概述 | Presents a unified theory of convex analysis, optimization, and related topics in both finite and infinite dimensions.Highlights a variational approach to convex analysis and applications.Includes in- |
| 叢書名稱 | Springer Series in Operations Research and Financial Engineering |
| 圖書封面 |  |
| 描述 | This book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings. These developments and expositions are based on the powerful geometric approach of variational analysis, which resides on set extremality with its characterizations and specifications in the presence of convexity. Using this approach, the text consolidates the device of fundamental facts of generalized differential calculus to obtain novel results for convex sets, functions, and set-valued mappings in finite and infinite dimensions. It also explores topics beyond convexity using the fundamental machinery of convex analysis to develop nonconvex generalized differentiation and its applications..?.The text utilizes an adaptable framework designed with researchers as well as multiple levels of students in mind. It includes many exercises and figures suited to graduate classes in mathematical sciences that are also accessible to advanced students in economics, engineering, and other applications. In addition, it includes chapters on convex analysis and optimization in finite-dimensional spac |
| 出版日期 | Textbook 2022 |
| 關鍵詞 | Topological Vector Spaces; Locally Convex Topological Vector Spaces; Convex Sets; Convex Functions; Conv |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-94785-9 |
| isbn_softcover | 978-3-030-94787-3 |
| isbn_ebook | 978-3-030-94785-9Series ISSN 1431-8598 Series E-ISSN 2197-1773 |
| issn_series | 1431-8598 |
| copyright | Springer Nature Switzerland AG 2022 |
|Archiver|手機版|小黑屋|
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