Proximal point algorithms involving fixed point iteration for nonexpansive mappings in CAT(κ) spaces
Nuttapol Pakkaranang, Poom Kumam, Prasit Cholamjiak, Raweerote Suparatulatorn, Parin Chaipunya · Carpathian Journal of Mathematics · 2018
In this paper, we propose a new modified proximal point algorithm involving fixed point iteration for nonexpansive mappings in CAT(1) spaces. Under some mild conditions, we prove that the sequence generated by our iterative algorithm ∆-converges to a common solution between certain convex optimization and fixed point problems.