Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings in $\operatorname {CAT}(0)$ spaces
Shih-sen Chang, Jen‐Chih Yao, Lin Wang, Qin Li · Fixed Point Theory and Applications · 2016
Abstract In this paper, a new modified proximal point algorithm involving fixed point iterates of asymptotically nonexpansive mappings in $\operatorname {CAT}(0)$ CAT(0) spaces is proposed and the existence of a sequence generated by our iterative process converging to a minimizer of a convex function and a common fixed point of asymptotically nonexpansive mappings is proved.