Bulletin of the Australian Mathematical Society

Research Article

The coincidence problem for compositions of set-valued maps

H. Ben-El-Mechaiekha1

a1 Department of Mathematics, Brock University, St Catharines, Ontario L2S 3A1, Canada

The main purpose of this work is to give a general and elementary treatment of the fixed point and the coincidence problems for compositions of set-valued maps with not necessarily locally convex domains and to display, once more, the central rôle played by the selection property.

(Received June 28 1989)