Inexact orbits of set-valued nonexpansive mappings with summable errors

2020 Journal of Applied and Numerical Optimization  
Given a set-valued nonexpansive mapping which acts on a metric space, we study the convergence of its inexact iterates to its attracting sets in the case where the errors are summable. In particular, we extend results which are known to hold for single-valued nonexpansive self-mappings of metric spaces.
doi:10.23952/jano.2.2020.1.07 fatcat:xok2wrnucjdqpkvr2bekp5bp3i