A monotone operator method for the solution of Fredholm integral equations

Summary

We consider the approximation of the solutions of the integral equations of the form

$$\lambda x(s) = \int\limits_a^b {K(s,t,x(t))dt + y(s)} ,a \leqq s \leqq b,$$

or of the form

$$x(s) = \int\limits_a^b {K(s,t)f(t,x(t))dt + y(s)} ,a \leqq s \leqq b$$

by using the techniques of monotone operators.