STRONG CONVERGENCE OF MODIFIED VISCOSITY APPROXIMATION IN CAT(0) SPACES

Modified viscosity approximation methods for nonexpansive mappings in CAT(0) spaces are studied. Consider a nonexpansive self-mapping of a closed convex subset of a CAT(0) space, we propose a modified viscosity approximation methods. It is shown that under certain appropriate conditions on the iterative coefficient, the iterative sequence converges strongly to a fixed point of the nonexpansive self-mapping.