Convergence theorems of Ishikawa iterative sequences for nonexpansive mappings in a uinformly convex Banach space
Yongfu Su · Basic Sciences Journal of Textile Universities · 2005
Let X be a univformly convex Banach space,E be a nonempty closed subset of X and be an nonexpansive mapping with fixed points.It is shown that only the subsequence of Ishikawa iterative parameters satisfy some restrications,the strong and weak convergence theorems for Ishikawa iterative process are proved.Meanwhile,the concept of approximate Picard iteration is put forward and its convergence theorems is proved.