  The semilinear heat equation with non-instantaneous impulses \textbf{(NII)},
memory, and delay is considered and its approximate controllability is
obtained. This is done by employing a technique that avoids fixed point
theorems and pulls back the control solution to a fixed curve in a short time
interval. We demonstrate, once again, that the controllability of the system is
robust under the influence of non-instantaneous impulses, memory, and delays.
Finally, we present some open problems and a possible general framework to
study the controllability of non-instantaneous impulses semilinear systems.
