In this paper, we analyze the Bregman iterative model using the G-norm. Firstly, we show the
convergence of the iterative model. Secondly, using the source condition and the symmetric Bregman distance,
we consider the error estimations between the iterates and the exact image both in the case of clean and noisy
data. The results show that the Bregman iterative model using the G-norm has the similar good properties as
the Bregman iterative model using the L2-norm.