Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
Izhar Uddin, Chanchal Garodia, Juan J. Nieto · Journal of Inequalities and Applications · 2018
In this paper, we establish some convergence results for a monotone nonexpansive mapping in a $\operatorname{CAT}(0)$ 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.