We study the stability of Gabor frames with arbitrary sampling points in the time-frequency plane, in several aspects. We
prove that a Gabor frame generated by a window function in the Segal algebra S0(Rd) remains a frame even if (possibly) all the sampling points undergo an arbitrary perturbation, as long as this is uniformly
small. We give explicit stability bounds when the window function is nice enough, showing that the allowed perturbation depends
only on the lower frame bound of the original family and some qualitative parameters of the window under consideration. For
the perturbation of window functions we show that a Gabor frame generated by any window function with arbitrary sampling points
remains a frame when the window function has a small perturbation in S0(Rd) sense. We also study the stability of dual frames, which is useful in practice but has not found much attention in the literature.
We give some general results on this topic and explain consequences to Gabor frames.