ENGLISH

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

By Uwe Schaefer

Book information

Publisher
Karlsruhe Scientific Publishing
Year
2014
ISBN
3731502607, 9783731502609
Language
english
Format
PDF
Filesize
4 MB (3937072 bytes)
Pages
150\150
Time added
2017-02-14 13:33:40
Mathematics;Applied;Geometry & Topology;History;In

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.

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