Journal of Prime Research in Mathematics

# A numerical approach for solving hammerstein integral equations in banach spaces

$$^{1}$$Corresponding Author: mostefanadir@yahoo.fr
In this work, we give a weaker conditions guarantee the boundedness of the Hammerstein integral equation in $$L^p$$ spaces, also we study conditions of the convergence of the approximate solution to the exact one of the integral equation using the successive approximations method. Finally, we treat numerical examples compared with other papers in order to confirm the efficiency of our results.