2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68993In this paper, we study a class of Banach spaces, called ϕ-spaces. In a natural way, we associate a measure of weak compactness in such spaces and prove an analogue of Sadovskii fixed point theorem for weakly sequentially continuous maps. A counter-example is given to justify our requirement. As an application, we establish an existence result for a Hammerstein integral equation in a Banach space.9 pagesFunctional Analysis47H10; 45N05text