The Knaster-Kuratowski-Mazurkiewicz theorem and almost fixed points
Sehie Park · Topological Methods in Nonlinear Analysis · 2000
From the KKM theorem for the ``closed'' and ``open'' valued cases, we deduce a generalization of the Alexandroff-Pasynkoff theorem, existence theorems for almost fixed points of lower semicontinuous multimaps, and a partial solution of the Ben-El-Mechaiekh conjecture.