A new iterative approximation scheme for Reich–Suzuki-type nonexpansive operators with an application

Abstract In this article, we propose a faster iterative scheme, called the AH for approximating fixed points of contractive-like mappings and Reich–Suzuki-type nonexpansive mappings. We show that scheme converges than number existing schemes The $w^{2}$ w 2 -stability result new is established supportive example provided to illustrate notion -stability. Then, prove weak several strong convergence results our Further, carry out numerical experiment efficiency scheme. As an application, use main existence solution mixed-type nonlinear integral equation. An illustrative validate in application also given. Our extend generalize related literature.