Inertial proximal point algorithm for variational inclusion in Hadamard manifolds

Abstract

In this paper, we consider the inertial proximal point algorithm for finding a zero point of variational inclusions on Hadamard manifolds. Under suitable conditions, it is proved that the sequence generated by the algorithm converges to an element of the set of zero points of variational inclusion problem. As applications, we utilize our results to study the minimization problem and saddle point problem in the setting of Hadamard manifolds.