Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations

摘要

In this paper, we establish some convergence results for a monotone nonexpansive mapping in a CAT(0) space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate the convergence of our iteration scheme, and also, as an application, we discuss the solution of integral equation. Our results extend some of the relevant results.