Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 36461, 4 pages

Multivalued H-essential maps of acyclic type on Hausdorff topological spaces

Donal O'Regan

Department of Mathematics, National University of Ireland, Galway, Ireland

Received 7 March 2005; Revised 25 April 2005; Accepted 28 April 2005

Copyright © 2006 Donal O'Regan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper discusses acyclic maps between topological spaces. We show that if F is H-essential and FG, then G has a fixed point.