Viscosity approximation methods for nonexpansive semigroups in CAT ( 0 ) spaces
Rabian Wangkeeree, Pakkapon Preechasilp · Fixed Point Theory and Applications · 2013
In this paper, we study the strong convergence of Moudafi’s viscosity approximation methods for approximating a common fixed point of a one-parameter continuous semigroup of nonexpansive mappings in spaces. We prove that the proposed iterative scheme converges strongly to a common fixed point of a one-parameter continuous semigroup of nonexpansive mappings which is also a unique solution of the variational inequality. The results presented in this paper extend and enrich the existing literature.