Under certain assumptions on the functions , and , we establish one new criterion on the operator defined on by
to guarantee that the operator equation has at least three solutions, where if and if , via the Leguette–Williams fixed point theorem. Two examples are given to demonstrate our main result.
"Multiplicity results to nonlinear Hammerstein integral equations and applications." J. Integral Equations Applications 33 (2) 237 - 246, Summer 2021. https://doi.org/10.1216/jie.2021.33.237