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

• Autor principal: Schäfer, Uwe (auth)
• Formato: Electrónico Capítulo de libro
• Lenguaje: inglés
• Publicado: KIT Scientific Publishing 2014
• Materias: Banachräume; Brouwer; SchauderFixed points; Fixpunkt; Anwendungen; Banach spaces; verification methods
• Acceso en línea: DOAB: download the publication; DOAB: description of the publication

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 natura...