Historical Note von Neumann's original proof (1928) used Brouwer's fixed point theorem. Together with Danzig in 1947 they realized the above connection. - ppt download
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1 Proof of Brouwer's Fixed Point Theorem
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Gabriel Peyré on Twitter: "Banach fixed point theorem ensures existence of a unique fixed point for contracting maps. The proof is constructive by iterating the map. https://t.co/XxYR1WfMou https://t.co/1GftPkPFFy" / Twitter
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PDF) An elementary proof of the fixed point theorem of Browder and Kirk
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Brouwer
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ordinary differential equations - Banach fixed point theorem ode - Mathematics Stack Exchange
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PDF] Banach fixed point theorem and applications | Semantic Scholar
