Fixed Point Theory and Applications
Volume 2004 (2004), Issue 3, Pages 187-194

Existence of zeros for operators taking their values in the dual of a Banach space

Biagio Ricceri

Department of Mathematics, University of Catania, Catania 95125, Italy

Received 14 October 2003; Revised 21 April 2004

Copyright © 2004 Biagio Ricceri. 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.


Using continuous selections, we establish some existence results about the zeros of weakly continuous operators from a paracompact topological space into the dual of a reflexive real Banach space.