A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds

The problem of finding fixed points of nonexpansive mappings on Hadamard manifolds is considered in this paper. To solve this kind of problem, we propose a modified Riemannian Mann algorithm with inertial effect. Under the assumption of existence of fixed points of the nonexpansive mapping, the global convergence of the proposed algorithm is established. To show the efficiency of the proposed algorithm, numerical comparisons with some existing algorithms are reported.