| 書目名稱 | Geometric Properties of Banach Spaces and Nonlinear Iterations | | 編輯 | Charles Chidume | | 視頻video | http://file.papertrans.cn/384/383597/383597.mp4 | | 概述 | Self-contained, with detailed motivations, explanations and examples.In-depth, comprehensive and up-to-date coverage.Contains interesting, important and reasonable open problems.Summaries of key inequ | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... | | 出版日期 | Book 2009 | | 關鍵詞 | 45XX; 46XX; 47XX; 49XX; 65XX; 68XX; Convexity; Families of operators; Hammerstein equations; Iterative method | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-84882-190-3 | | isbn_softcover | 978-1-84882-189-7 | | isbn_ebook | 978-1-84882-190-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag London 2009 |
The information of publication is updating
|
|
|Archiver|手機版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-14 07:45
發(fā)表于 2025-3-21 19:46:20
