Krasnoselskii‐type fixed point theorems with applications to Hammerstein integral equations in L 1 spaces

In this paper, we study fixed point theorems and new variants of some nonlinear altenatives of Krasnoselskii type in Banach spaces by using measures of weak noncompactness. Then we give an application to solve a nonlinear Hammerstein integral equation in L 1 spaces.