On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
Raweerote Suparatulatorn, Prasit Cholamjiak, Suthep Suantai · Optimization methods & software · 2016
We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend some known results which appeared in the literature.