(SCIK Publishing Corporation, 2024) Oboyi, J.; Orim, R. E.; Ofem, A. E.; Maharaj, A.; Narain, O. K.
In this article, we consider the AI-iteration process for approximating the fixed points of enriched
contraction and enriched nonexpansive mappings. Firstly, we prove the strong convergence of the AI-iteration
process to the fixed points of enriched contraction mappings. Furthermore, we present a numerical experiment to demonstrate the efficiency of the AI-iterative method over some existing methods. Secondly, we establish the weak and strong convergence results of AI-iteration method for enriched nonexpansive mappings in uniformly convex Banach spaces. Thirdly, the stability analysis results of the considered method is presented. Finally, we apply our results to the solution of fractional boundary value problems in Banach spaces
