Modified proximal point algorithms for variational inclusion problems on Hadamard manifolds

In this article, we propose two modified proximal point algorithms for computing the solutions of the inclusion problems in the setting of Hadamard manifolds. In the first algorithm, we use line search method, whereas in the second algorithm, we use simple self adaptive stepsize rule. We study the convergence analysis for both the algorithms under mild assumptions. We present a numerical example to demonstrate the efficiency of the proposed algorithms.