Let E be an arbitrary real Banach space and let 

$A:D(A)\subseteq E\mapsto E\>$ be a Lipschitz strongly K-accretive operator.

It is proved that modified iteration processes of the Mann and Ishikawa 

types converge strongly to the unique solutions of the operator equations 

$Ax=f\>$ and $Kx+Ax=f\>$ where $f\in E\>$ is an arbitrary but fixed vector.