Elementary Fixed Point Theorems. 1st ed. 2018
- 種類:
- 電子ブック
- 責任表示:
- by P.V. Subrahmanyam
- 出版情報:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2018
- 著者名:
- シリーズ名:
- Forum for Interdisciplinary Mathematics ;
- ISBN:
- 9789811331589 [9811331588]
- 注記:
- Chapter 1. Prerequisites -- Chapter 2. Fixed Points of Some Real and Complex Functions -- Chapter 3. Fixed Points and Order -- Chapter 4. Partially Ordered Topological Spaces and Fixed Points -- Chapter 5. Contraction Principle -- Chapter 6. Applications of the Contraction Principle -- Chapter 7. Caristi’s fixed point theorem -- Chapter 8. Contractive and Nonexpansive Mappings -- Chapter 9. Geometric Aspects of Banach Spaces and Nonexpansive Mappings -- Chapter 10. Brouwer’s Fixed Point Theorem -- Chapter 11. Schauder’s Fixed Point Theorem and Allied Theorems -- Chapter 12. Basic Analytic Degree Theory af a Mapping.
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 via a certain partial order. Co - ローカル注記:
- 学内専用E-BOOKS (local access only)
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Springer International Publishing : Imprint: Springer |
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電子ブック
Fixed Point Theory : Proceedings of a Conference Held at Sherbrooke, Quebec, Canada, June 2-21, 1980
Springer Berlin Heidelberg : Imprint: Springer |
Springer-Verlag New York |
Springer Berlin Heidelberg : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer Nature Singapore : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer Science+Business Media, LLC |
Springer Berlin Heidelberg : Imprint: Springer |