Geodesic
The Brouwer Fixed Point Theorem for Some Set Mappings
Dariusz Miklaszewski1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 2, pp. 133-140.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For some classes $X \subset 2^{\mathbb {B}_n}$ of closed subsets of the disc $\mathbb {B}_n \subset \mathbb {R}^n$ we prove that every Hausdorff-continuous mapping $f : X \rightarrow X$ has a fixed point $A \in X$ in the sense that the intersection $A \cap f(A)$ is nonempty.
DOI : 10.4064/ba61-2-6
Keywords: classes subset mathbb closed subsets disc mathbb subset mathbb prove every hausdorff continuous mapping rightarrow has fixed point sense intersection cap nonempty

Dariusz Miklaszewski 1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Dariusz Miklaszewski. The Brouwer Fixed Point Theorem for Some Set Mappings. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 2, pp. 133-140. doi : 10.4064/ba61-2-6. http://geodesic.mathdoc.fr/articles/10.4064/ba61-2-6/

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