A fixed point theorem for demicontinuous pseudo-contractions in Hilbert apace
Studia Mathematica 116 (1995), 217-223 DOI: 10.4064/sm-116-3-217-223
Let C be a closed, bounded, convex subset of a Hilbert space. Let T : C → C be a demicontinuous pseudocontraction. Then T has a fixed point. This is shown by a combination of topological and combinatorial methods.