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 \Delta-converges to a common solution between certain convex optimization and fixed point problems.

 

Additional Information

Author(s)

Chaipunya, Parin, Cholamjiak, Prasit, Kumam, Poom, Pakkaranang, Nuttapol, Suparatulatorn, Raweerote

DOI

https://doi.org/10.37193/CJM.2018.02.11