The Brouwer Fixed Point Theorem for Some Set Mappings
Dariusz Miklaszewski
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013), p. 133-140 / Harvested from The Polish Digital Mathematics Library
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For some classes X⊂2ₙ of closed subsets of the disc ₙ ⊂ ℝⁿ we prove that every Hausdorff-continuous mapping f: X → X has a fixed point A ∈ X in the sense that the intersection A ∩ f(A) is nonempty.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:281289 
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     title = {The Brouwer Fixed Point Theorem for Some Set Mappings},
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     year = {2013},
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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) pp. 133-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-2-6/