The Brouwer Fixed Point Theorem for Some Set Mappings

@article{DariuszMiklaszewski2013,
abstract = {For some classes $X ⊂ 2^\{ₙ\}$ 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.},
author = {Dariusz Miklaszewski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {fixed points},
language = {eng},
number = {2},
pages = {133-140},
title = {The Brouwer Fixed Point Theorem for Some Set Mappings},
url = {http://eudml.org/doc/281289},
volume = {61},
year = {2013},
}

TY - JOUR
AU - Dariusz Miklaszewski
TI - The Brouwer Fixed Point Theorem for Some Set Mappings
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2013
VL - 61
IS - 2
SP - 133
EP - 140
AB - For some classes $X ⊂ 2^{ₙ}$ 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.
LA - eng
KW - fixed points
UR - http://eudml.org/doc/281289
ER -