From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications
Based on Sperner's lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwer's fixed point theorem, many nice applications are given in some detail. Also Schauder's fixed point theorem is presented which can be viewed as a natural generalizatio...
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| Главный автор: | |
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| Формат: | Online |
| Язык: | английский |
| Опубликовано: |
KIT Scientific Publishing
2021
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| Предметы: | |
| Online-ссылка: | 34628 |
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Нет меток, Требуется 1-ая метка записи!
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| _version_ | 1869520952813944832 |
|---|---|
| author | Schäfer, Uwe |
| author_browse | Schäfer, Uwe |
| author_facet | Schäfer, Uwe |
| author_sort | Schäfer, Uwe |
| collection | Directory of Open Access Books |
| description | Based on Sperner's lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwer's fixed point theorem, many nice applications are given in some detail. Also Schauder's fixed point theorem is presented which can be viewed as a natural generalization of Brouwer's fixed point theorem to an infinite-dimensional setting. Finally, Tarski's fixed point theorem is applied to differential equations in Banach spaces. |
| format | Online |
| id | doab-20.500.12854ir-48124 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-481242023-12-20T18:40:35Z From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications Schäfer, Uwe QA1-939 Banachräume Brouwer SchauderFixed points Fixpunkt Anwendungen Banach spaces verification methods bic Book Industry Communication::P Mathematics & science Based on Sperner's lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwer's fixed point theorem, many nice applications are given in some detail. Also Schauder's fixed point theorem is presented which can be viewed as a natural generalization of Brouwer's fixed point theorem to an infinite-dimensional setting. Finally, Tarski's fixed point theorem is applied to differential equations in Banach spaces. 2021-02-11T14:08:14Z 2021-02-11T14:08:14Z 2019-07-30 20:01:58 2014 book 34628 9783731502609 https://directory.doabooks.org/handle/20.500.12854/48124 eng image/jpeg Attribution-ShareAlike 4.0 International https://www.ksp.kit.edu/9783731502609 KIT Scientific Publishing 10.5445/KSP/1000042944 10.5445/KSP/1000042944 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783731502609 IV, 134 p. open access |
| spellingShingle | QA1-939 Banachräume Brouwer SchauderFixed points Fixpunkt Anwendungen Banach spaces verification methods bic Book Industry Communication::P Mathematics & science Schäfer, Uwe From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications |
| title | From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications |
| title_full | From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications |
| title_fullStr | From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications |
| title_full_unstemmed | From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications |
| title_short | From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications |
| title_sort | from sperner s lemma to differential equations in banach spaces an introduction to fixed point theorems and their applications |
| topic | QA1-939 Banachräume Brouwer SchauderFixed points Fixpunkt Anwendungen Banach spaces verification methods bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Banachräume Brouwer SchauderFixed points Fixpunkt Anwendungen Banach spaces verification methods bic Book Industry Communication::P Mathematics & science |
| url | 34628 |
| work_keys_str_mv | AT schaferuwe fromspernerslemmatodifferentialequationsinbanachspacesanintroductiontofixedpointtheoremsandtheirapplications |