  This letter presents a phenomenological analysis for the lepton ($l_i^{}$)
decaying into $ l_j^{} l_k^{} \bar{l}_k^{}, l_j^{} \pi^+ \pi^-$ considering
family non-universal couplings as source of the lepton flavor-violating (LFV)
currents and a new neutral gauge boson ($Z'$) as mediator in the
flavor-changing. The most viable $g_{V}^{f_if_J}$ and $g_{A}^{f_if_j}$
couplings are reported as long as derive new bounds for the $M_{Z'}^{}$ by
using current results from LHC and a phenomenological analysis.
