In this paper, we extend the proximal point algorithm proposed by Chang et al.[8] for total asymptotically nonexpansive mapping in CAT(0) spaces. We also demonstrate the ∆-convergence and strong convergence to a common element of the set of minimizers of a convex function and the set of fixed points of the Cesàro type mean of total asymptotically nonexpansive mappings in CAT(0) spaces.