Article
Version 1
This version is not peer-reviewed
On Stability of Iterative Sequences with Error
Version 1
: Received: 9 June 2019 / Approved: 11 June 2019 / Online: 11 June 2019 (08:38:26 CEST)
How to cite: Abed, S.S.; Taresh, N.S. On Stability of Iterative Sequences with Error. Preprints 2019, 2019060089 Abed, S.S.; Taresh, N.S. On Stability of Iterative Sequences with Error. Preprints 2019, 2019060089
Abstract
In this paper, it is proved that s-iteration with error and Picard-Mann iteration with error iterative processes converge strongly to the unique fixed point of Lipschitzian strongly pseudo-contractive map. This convergence is almost -stable and -stable. Applications of these results to the operator equations, where is a strongly accretive and accretive mappings of into itself.
Keywords
Banach space; iterative sequences; stability; fixed points
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment