Geodesic metric spaces and generalized nonexpansive multivalued mappings

In this paper‎, ‎we present some common fixed point‎ ‎theorems for two generalized nonexpansive multivalued mappings in‎ ‎CAT(0) spaces as well as in UCED Banach spaces‎. ‎Moreover‎, ‎we prove‎ ‎the existence of fixed points for generalized nonexpansive‎ ‎multivalued mappings in complete geodesic metric spaces with‎ ‎convex metric for which the asymptotic center of a bounded‎ ‎sequence in a bounded closed convex subset is nonempty and‎ ‎singleton‎. ‎The results obtained in this paper extend and improve‎ ‎some recent results‎.