| 书目名称 | Elementary Fixed Point Theorems |
| 编辑 | P.V. Subrahmanyam |
| 视频video | |
| 概述 | Discusses topics on basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski, their variants and applications.Introduces finite-dimensional degree theory based on Heinz‘s approach and so |
| 丛书名称 | Forum for Interdisciplinary Mathematics |
| 图书封面 |  |
| 描述 | .This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications. Key topics covered include Sharkovsky’s theorem on periodic points, Thron’s results on the convergence of certain real iterates, Shield’s common fixed theorem for a commuting family of analytic functions and Bergweiler’s existence theorem on fixed points of the composition of certain meromorphic functions with transcendental entire functions. Generalizations of Tarski’s theorem by Merrifield and Stein and Abian’s proof of the equivalence of Bourbaki–Zermelo fixed-point theorem and the Axiom of Choice are described in the setting of posets. A detailed treatment of Ward’s theory of partially ordered topological spaces culminates in Sherrer fixed-point theorem. It elaborates Manka’s proof of the fixed-point property of arcwise connected hereditarily unicoherent continua, based on the connection he observed between set theory and fixed-point theory viaa certain partial order. Contraction principle is provided with two proofs: one due to Palais and the other due to Barranga. Applications of the contraction principle include the proofs of algebraic Weie |
| 出版日期 | Textbook 2018 |
| 关键词 | Partial order; Fixed Points; quasi-order; Contraction Principle; Cauchy-Kowalevsky Theorem; Brouwer’s Fix |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-13-3158-9 |
| isbn_ebook | 978-981-13-3158-9Series ISSN 2364-6748 Series E-ISSN 2364-6756 |
| issn_series | 2364-6748 |
| copyright | Springer Nature Singapore Pte Ltd. 2018 |
发表于 2025-3-21 17:33:53
