Coincidence points for set-valued mappings in convex metric spaces


Olga Hadžić, Ljiljana Gajić




In this paper a generalization of the well-known fixed point theorem of Assad and Kirk for multivalued mappings in convex metric spaces is given. The multivalued version of the Palats-Smale condition is introduced and applied in the proof of Theorem 2, which contains an existence result on coincidence points for set-valued mappings in metric spaces with a convex structure.