A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings

In this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically 𝜙-strongly pseudocontractive mappings in a uniformly smooth Banach space.

Bibliographic Details
Main Authors: Luigi Muglia, Yonghong Yao
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/912050