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From Sperner s Lemma to Differential Equations in Banach Spaces An Introduction to Fixed Point Theorems and their Applications Book PDF 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.

Detail Book of From Sperner s Lemma to Differential Equations in Banach Spaces An Introduction to Fixed Point Theorems and their Applications PDF

From Sperner s Lemma to Differential Equations in Banach Spaces   An Introduction to Fixed Point Theorems and their Applications
  • Author : Schaefer, Uwe
  • Release : 03 December 2014
  • Publisher : KIT Scientific Publishing
  • ISBN : 9783731502609
  • Genre : Mathematics
  • Total Page : 150 pages
  • Language : English
  • PDF File Size : 14,8 Mb

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