Approximating Common Fixed Points of Nonexpansive Mappings on Hadamard Manifolds with Applications

Abstract

The point of this research is to present a new iterative procedure for approximating common fixed points of nonexpansive mappings in Hadamard manifolds. The convergence theorem of the proposed method is discussed under certain conditions. For the sake of clarity, we provide some numerical examples to support our results. Furthermore, we apply the suggested approach to solve inclusion problems and convex feasibility problems.

Keywords

• fixed point
• Hadamard manifold
• iterative algorithm
• nonexpansive mapping