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

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.