A PARALLEL TSENG’S SPLITTING METHOD FOR COMMON SOLUTION OF VARIATIONAL INCLUSIONS AND FIXED POINT PROBLEMS ON HADAMARD MANIFOLDS

In this manuscript, we propose an inertial forward-backward-forward splitting method for common solution of variational inclusions and fixed point problems of nonexpansive mappings in the framework of a Hadamard manifold. Using our iterative method together with a self-adaptive method which generates dynamic step-size converging to a positive constant, we establish that the sequence generated by our method converges to a common solution of variational inclusions and fixed point problems. Also, we illustrate a numerical example to show the performance of our method. The result discuss in this article extends and complements many related results in the literature.