From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications

Uwe Schäfer

ISBN 10: 3731502607 / ISBN 13: 9783731502609

Verlag: Karlsruher Institut Für Technologie, Karlsruher Institut Für Technologie Dez 2014, 2014

Beschreibung

Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 150 pp. Englisch.

Bestandsnummer des Verkäufers 9783731502609

Bibliografische Details

• Titel: From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications
• Verlag: Karlsruher Institut Für Technologie, Karlsruher Institut Für Technologie Dez 2014
• Erscheinungsjahr: 2014
• Sprache: Englisch
• ISBN-10: 3731502607
• ISBN-13: 9783731502609
• Einband: Taschenbuch
• Zustand: Neu

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Inhaltsangabe

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.