Implicit iteration approximation for a‎ ‎finite family of asymptotically quasi-pseudocontractive type‎ ‎mappings

Document Type : Research Paper


Department of Mathematics, BoHai University


In this paper‎, ‎strong convergence theorems of Ishikawa type implicit iteration‎
‎process with errors for a finite family of asymptotically‎
‎nonexpansive in the intermediate sense and asymptotically‎
‎quasi-pseudocontractive type mappings in normed linear spaces are‎
‎established by using a new analytical method‎, ‎which essentially‎
‎improve and extend some recent results obtained by Yang‎
‎[Convergence theorems of implicit iteration process for‎
‎asymptotically pseudocontractive mappings‎, ‎Bulletin of the Iranian‎
‎Mathematical Society‎, ‎Available Online from 12 April 2011] and‎


Main Subjects