Iteration Scheme with Errors and Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings
Wang Ya-qin · Mathematica Applicata · 2007
In this paper,we introduce a new explicit iteration scheme with errors and perturbed mapping for common fixed points of a finite family of nonexpansive mappings in real uniformly convex and q-uniformly smooth Banach spaces and establish some convergence theorems for this explicit iteration scheme.In particular,necessary and sufficient conditions for strong convergence of this explicit iteration scheme are obtained.The results presented in this paper generalize the corresponding results of Wang[1].