Our purpose in this paper is to present some common fixed point results for αC -admissible multi-valued mappings which have greatest lower bound property. By utilizing an extended contraction condition that is more generally of than other contractions that be used in this literature, we deduce some convenient results in complex-valued double controlled metric spaces. Also, we give some significant applications of these results to the existence of the solution of Riemann–Liouville and Atangana–Baleanufractional integral inclusion systems.
