Several years ago the second
author stated a fixed point theorem for a class of arcwise connected spaces which
includes the dendroids as well as certain nonunicoherent continua. Subsequently the
first author detected a flaw in the proof. The present collaboration has produced a
correct proof. Since the theorem has not been subsumed in the literature of the
intervening years and since other authors have alluded to it, it seems desirable to
publish the new proof.