  The holographic complexity and fidelity susceptibility have been defined as
new quantities dual to different volumes in AdS. In this paper, we will use
these new proposals to calculate both of these quantities for a variety of
interesting deformations of AdS. We obtain the holographic complexity and
fidelity susceptibility for an AdS black hole, Janus solution and a solution
with cylindrically symmetry, an inhomogeneous background and a hyperscaling
violating background. It is observed that the holographic complexity depends on
the size of the subsystem for all these solutions and the fidelity
susceptibility does not have any such dependence.
