| 书目名称 | Handbook of Metric Fixed Point Theory |
| 编辑 | William A. Kirk,Brailey Sims |
| 视频video | |
| 图书封面 |  |
| 描述 | Metric fixed point theory encompasses the branch of fixed pointtheory which metric conditions on the underlying space and/or on themappings play a fundamental role. In some sense the theory is afar-reaching outgrowth of Banach‘s contraction mapping principle. Anatural extension of the study of contractions is the limiting casewhen the Lipschitz constant is allowed to equal one. Such mappings arecalled nonexpansive. Nonexpansive mappings arise in a variety ofnatural ways, for example in the study of holomorphic mappings andhyperconvex metric spaces..Because most of the spaces studied in analysis share many algebraicand topological properties as well as metric properties, there is noclear line separating metric fixed point theory from the topologicalor set-theoretic branch of the theory. Also, because of its metricunderpinnings, metric fixed point theory has provided the motivationfor the study of many geometric properties of Banach spaces. Thecontents of this Handbook reflect all of these facts. .The purpose of the Handbook is to provide a primary resource foranyone interested in fixed point theory with a metric flavor. The goalis to provide information for those wishing to find res |
| 出版日期 | Book 2001 |
| 关键词 | banach spaces; compactness; fixed point theory; mathematical analysis; metric space; stability |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-017-1748-9 |
| isbn_softcover | 978-90-481-5733-4 |
| isbn_ebook | 978-94-017-1748-9 |
| copyright | Springer Science+Business Media Dordrecht 2001 |
发表于 2025-3-21 18:57:10
