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

Format:

Book

Author/Creator:

Schäfer, U. (Uwe)

Language:

English

Physical Description:

1 online resource (IV, 134 p. p.)

Other Title:

From Sperner's Lemma to Differential Equations in Banach Spaces

Place of Publication:

KIT Scientific Publishing 2014

Language Note:

English

Summary:

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.

ISBN:

1-000-04294-4