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Ever seen the little ‘You Are Here’ dot on a map of the airport, or the mall, or any other structure? That’s a demonstration of the Brouwer Fixed-Point Theorem. Violently shaken martini shakers and ...

The theorems of Hadamard and of Poincaré–Miranda give sufficient conditions for the existence of at least one zero for some continuous mappings from a Euclidean space into itself. The note gives ...

https://doi.org/10.4169/amer.math.monthly.121.05.415 https://www.jstor.org/stable/10.4169/amer.math.monthly.121.05.415 The Monthly publishes articles, as well as ...

Game Theory was originally an idea of John von Neumann based on the strategy and equilibrium in two person zero sum games and its proof was the Brouwer fixed-point theorem which has become a standard ...

Fixed point theoremsvital tools for mathematicianscan seem esoteric, but fixed points actually crop up every now and then in unexpected places which you might not readily associate with mathematics ...