  There exist two different versions of the Kullback-Leibler divergence (K-Ld)
in Tsallis statistics, namely the usual generalized K-Ld and the generalized
Bregman K-Ld. Problems have been encountered in trying to reconcile them. A
condition for consistency between these two generalized K-Ld-forms by recourse
to the additive duality of Tsallis statistics is derived. It is also shown that
the usual generalized K-Ld subjected to this additive duality, known as the
dual generalized K-Ld, is a scaled Bregman divergence. This leads to an
interesting conclusion: the dual generalized mutual information is a scaled
Bregman information. The utility and implications of these results are
discussed.
