Compact perturbations of $m$-accretive operators in Banach spaces

This paper continues a discussion that arose twenty years ago, concerning the perturbation of an $m$-accretive operator by a compact mapping in Banach spaces. Indeed, if $A$ is $m$-accretive and $g$ is compact, then the boundary condition $tx \notin A(x)g(x)$ for $x \in \partial G \cap D(A)$ and $t<0$ implies that $0$ is in the closure of the range of $A+g$. Perhaps the most interesting aspect of this result is the proof itself, which does not appeal to the classical degree theory argument used for this type of problem.