Fixed point theorems for convex-power condensing operators relative to the weak topology and applications to volterra integral equations
Agarwal, Ravi P.
MetadataShow full item record
In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convex-power condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several earlier works. As an application, we investigate the existence of weak solutions to a Volterra integral equation. 2012 Rocky Mountain Mathematics Consortium.