On the Convergence of Mann and Ishikawa Iterative Processes for Asymptotically ϕ-Strongly Pseudocontractive Mappings

We prove the equivalence and the strong convergence of (1) the modified Mann iterative process and (2) the modified Ishikawa iterative process for asymptotically ϕ-strongly pseudocontractive mappings in a uniformly smooth Banach space.

Bibliographic Details
Main Authors: Xuewu Wang, Giuseppe Marino, Luigi Muglia
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/850104