On analytical and numerical study of implicit fixed point iterations

In this article, we define a new three-step implicit iteration and study its strong convergence, stability and data dependence. It is shown that the new three-step iteration has better rate of convergence than implicit and explicit Mann iterations as well as implicit Ishikawa-type iteration. Numeric...

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Bibliographic Details
Main Authors: Renu Chugh, Preety Malik, Vivek Kumar
Format: Article
Language:English
Published: Taylor & Francis Group 2015-12-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2015.1021623