Fixed Point Theory and Applications 
Volume 2004 (2004), Issue 3, Pages 187-194
doi:10.1155/S1687182004310028

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

Abstract

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.