Dynamical Systems Method (DSM) for solving nonlinear operator equations in Banach spaces

A. G. Ramm

Let $F(u)=h$ be an operator equation in a Banach space $X$, $\Vert F^{\prime }(u)-F^{\prime }(v)\Vert \le \omega (\Vert u-v\Vert )$, where $\omega \in C([0,\infty ))$, $\omega (0)=0$, $\omega (r)>0$ if $r>0$, $\omega (r)$ is strictly growing on…