The Brouwer Fixed Point Theorem for Some Set Mappings
Dariusz Miklaszewski (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
For some classes 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.