  In this note we show that a false statement obtained by replacing a "lim" by
"limsup" for a sequence in Lemma 1.3 of the paper [J. Schu: Weak and strong
convergence to fixed points of asymptotically nonexpansive mappings, Bull.
Austral. Math. Soc. 43 (1991), 153--159] is used in many papers. We do not know
which is the first paper that used that false assertion, but the first one that
we identified is from 2005 and the last one is from 2024.
