Book ; Online: From Sperners Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications
2014
Abstract: Based on Sperners lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwers fixed point theorem, many nice applications are given in some detail. Also Schauders fixed point theorem is presented ... ...
Abstract | Based on Sperners lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwers fixed point theorem, many nice applications are given in some detail. Also Schauders fixed point theorem is presented which can be viewed as a natural generalization of Brouwers fixed point theorem to an infinite-dimensional setting. Finally, Tarskis fixed point theorem is applied to differential equations in Banach spaces |
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Keywords | Mathematics |
Size | 1 electronic resource (IV, 134 p. p.) |
Publisher | KIT Scientific Publishing |
Publishing place | Verlagsort nicht ermittelbar |
Document type | Book ; Online |
Note | ENGLISH ; Open Access |
HBZ-ID | HT020196691 |
ISBN | 9783731502609 ; 3731502607 |
Database | ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture |
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