In the following article we have introduced generalized multivalued α-ψ-contractive type mappings and multi-valued (θ, L)-weakly
contractive mappings in G-metric spaces and have established common
fixed point results for the concerned contractive mappings. We have also
proved some coincidence point theorems for multivalued G-α-admissible
mappings and relations. Some examples are also included in the support
of these results.Our results can not be derived directly from fixed point
theorems on metric or qusai-metric spaces as discussed by Jleli et al. in
[21] and Azam et al. in [9]. An interesting application is also added to
evaluate the solution of hyperbolic differential inclusion.