Proximal point algorithms involving fixed points of nonexpansive mappings in $\operatorname{CAT}(0)$ spaces
Prasit Cholamjiak, Afrah A. N. Abdou, Yeol Je Cho · Fixed Point Theory and Applications · 2015
Abstract In this paper, we introduce a new modified proximal point algorithm involving fixed point iterates of nonexpansive mappings in $\operatorname{CAT}(0)$ CAT ( 0 ) spaces and prove that the sequence generated by our iterative process converges to a minimizer of a convex function and a fixed point of mappings.