  Continuous generalized fusion frame theory was recently introduced by Rahimi
and al. Several equalities and inequalities have been obtained for frame,
fusion generalized fusion frame, among others. In the present paper, we
continue and extend these results to obtain some important identities and
inequalities in the case of continuous generalized fusion frame, Parceval
continuous generalized fusion frame, $ \lambda$-tight continuous generalized
fusion frame. Moreover, we obtain some new inequalities for the alternate dual
continuous generalized fusion frame. Finally, we obtain frame operator of a
pair of Bessel continuous generalized fusion mapping and we derive some results
about resolution of identity.
