An inertial Mann algorithm for nonexpansive mappings on Hadamard manifolds

Abstract

An inertial Mann algorithm will be presented in this article with the purpose of approximating a fixed point of a nonexpansive mapping on a Hadamard manifold. Any sequence that is generated by using the proposed approach, under suitable assumptions, converges to fixed points of nonexpansive mappings. The proposed method is also dedicated to solving inclusion and equilibrium problems. Lastly, we give a number of computational experiments that show how well the inertial Mann algorithm works and how it compares to other methods.

Keywords

• fixed point problem
• hadamard manifold
• inertial mann method
• nonexpansive mapping