We study the convergence of inexact iterates of nonexpansive mappings which take a nonempty closed subset of a complete metric space into the space in the case where the errors are sufficiently small.
"Asymptotic behavior of inexact orbits of nonexpansive mappings." Topol. Methods Nonlinear Anal. Advance Publication 1 - 11, 2020. https://doi.org/10.12775/TMNA.2020.043