Convergence analysis of an iterative algorithm for generalized nonexpansive mappings in Hadamard manifolds

This paper presents a novel iterative scheme for approximating fixed points of generalized nonexpansive mappings in Hadamard manifolds. Under mild and standard conditions on the control parameters, we establish comprehensive convergence results for the algorithm. We further introduce an iterative framework for addressing inclusion problems associated with these mappings. Numerical experiments are included to highlight the efficiency and improved performance of the proposed method relative to existing algorithms.