From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications
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| Autore: |
Schäfer Uwe
|
| Titolo: |
From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications
|
| Pubblicazione: | KIT Scientific Publishing, 2014 |
| Descrizione fisica: | 1 online resource (IV, 134 p. p.) |
| Soggetto non controllato: | Anwendungen |
| Banach spaces | |
| Banachräume | |
| Brouwer | |
| Fixpunkt | |
| SchauderFixed points | |
| verification methods | |
| Sommario/riassunto: | 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. |
| Altri titoli varianti: | From Sperner's Lemma to Differential Equations in Banach Spaces |
| Titolo autorizzato: | From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications |
| ISBN: | 1-000-04294-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910347049603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |