| 书目名称 | Fixed Point Theory in Distance Spaces | | 编辑 | William Kirk,Naseer Shahzad | | 视频video | | | 概述 | Covers four classical fixed point theorems against which metric extensions are usually checked and several new modern theorems on fixed point theory and distances..Presents a concise accessible docume | | 图书封面 |  | | 描述 | This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively. There are four classical fixed point theorems against which metric extensions are usually checked. These are, respectively, the Banach contraction mapping principal, Nadler’s well known set-valued extension of that theorem, the extension of Banach’s theorem to nonexpansive mappings, and Caristi’s theorem. These comparisons form a significant component of this book. This book is divided into three parts. Part I contains some aspects of the purely metric theory, especially Caristi’s theorem and a few of its many extensions. There is also a discussion of nonexpansive mappings, viewed in the context of logical foundations. Part I also contains certain results in hyperconvex metric spaces and ultrametric spaces. Part II treats fixed point theory in classes of spaces which, in addition to having a metric structure, also have geometric str | | 出版日期 | Book 2014 | | 关键词 | fixed point theory; metric spaces and geodesic shapes; metric spaces and geometric conditions; semimetr | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-10927-5 | | isbn_softcover | 978-3-319-36405-6 | | isbn_ebook | 978-3-319-10927-5 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 16:36:27
