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The Fixed Point Theorems of Brouwer and Schauder

1997
We are going to dedicate the first chapter to the study of the fixed point theorem of Schauder [S, 1930]. We have divided the chapter into two parts: In the first part we give the finite dimensional version of Schauder’s fixed point theorem (usually known as Brouwer’s theorem [Br, 1912], though an equivalent form had been proved by Poincare [Po, 1886]).
J. M. Ayerbe Toledano   +2 more
openaire   +1 more source

The Brouwer fixed point theorem and periodic solutions of differential equations

Journal of Fixed Point Theory and Applications, 2022
José Angel Cid, Jean Mawhin
exaly  

Brouwer’s Fixed Point Theorem and Sparsity

2016
In the generalized linear model and its relatives, the loss depends on the parameter via a transformation (the inverse link function) of the linear function (or linear predictor). In this chapter such a structure is not assumed. Moreover, the chapter hints at cases where the effective parameter space is very large and the localization arguments ...
openaire   +1 more source

Equilibrium points, periodic solutions and the Brouwer fixed point theorem for convex and non-convex domains

Journal of Fixed Point Theory and Applications, 2022
Guglielmo Feltrin, Fabio Zanolin
exaly  

Towards a noncommutative Brouwer fixed-point theorem

Journal of Geometry and Physics, 2016
Ludwik Dabrowski
exaly  

Brouwer's fixed point theorem and the madeleine moment

Journal of Mathematics and the Arts, 2018
Sanziana Caraman, Lorelei Caraman
exaly  

Two applications of Brouwer’s fixed point theorem: in insurance and in biology models

Journal of Difference Equations and Applications, 2016
M Borogovac
exaly  

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