Über die Fixpunktmengen einer Klasse Volterrascher Integraloperatoren in Banachräumen.
We deal with the integral equation , with , and . We prove an existence theorem for solutions where the function is not assumed to be continuous, extending a result previously obtained for the case .
The Schauder-Tikhonov theorem in locally convex topological spaces and an extension of Krasnosel’skiĭ’s fixed point theorem due to Nashed and Wong are used to establish existence of and C solutions to Volterra and Hammerstein integral equations in Banach spaces.