Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces
Hafiz Fukhar-ud-din, Abdul Rahim Khan · International Journal of Mathematics and Mathematical Sciences · 2005
We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi‐nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.