Convergence theorems for a finite family of nonexpansive mappings and uniformly L-Lipschitzian asymptotically quasi-nonexpansive mappings
Song Chuanjin · Journal of Suzhou University of Science and Technology · 2013
This paper studies the approximation of the common fixed points of two mapping families in uniformly convex Banach space.The finite step iteration process of both families of nonexpansive mappings and uniformly L-Lipschitzian asymptotically quasi-nonexpansive mappings is introduced.Strong convergence theorems of this scheme are proved in real uniformly convex Banach spaces.This improves and generalizes some related results in the references.