  Existence of mass-conserving self-similar solutions to collision-induced
breakage equation is shown for a specific class of homogeneous collision
kernels and breakage functions. The proof mainly relies on a dynamical approach
and compactness method to constructing mass-conserving stationary solutions for
an evolution problem, which induces mass-conserving self-similar solutions to
collision-induced breakage equation. Furthermore, we also determine lower and
upper bound of the scaling profile.
