| 书目名称 | Topology and Approximate Fixed Points | | 编辑 | Afif Ben Amar,Donal O‘Regan | | 视频video | | | 概述 | Explores in detail approximate fixed point theory in different classes of topological spaces.Covers weak topologies and their properties, in particular sequential properties of the weak topology.Provi | | 丛书名称 | Developments in Mathematics | | 图书封面 |  | | 描述 | This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory..This work starts with a set of basic notions in topological spaces. Special attention is given to topological vector spaces, locally convex spaces, Banach spaces, and ultrametric spaces. Sequences and function spaces—and fundamental properties of their topologies—are also covered. The reader will find discussions on fundamental principles, namely the Hahn-Banach theorem on extensions of linear (bounded) functionals; the Banach open mapping theorem; the Banach-Steinhaus uniform boundedness principle; and Baire categories, including some applications. Also included areweak topologies and their properties, in particular the theorems of Eberlein-Smulian, Goldstine, Kakutani, James and Grothendieck, reflexive Banach spaces, l_{1}- sequences, Rosenthal‘s theorem, sequential properti | | 出版日期 | Book 2022 | | 关键词 | topological vector spaces; weak topology; weak* topology; Fréchet-Urysohn property; 1_{1}-sequences; ultr | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-92204-7 | | isbn_softcover | 978-3-030-92206-1 | | isbn_ebook | 978-3-030-92204-7Series ISSN 1389-2177 Series E-ISSN 2197-795X | | issn_series | 1389-2177 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:40:43
