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Article
On Stability of Iterative Sequences with Error
This version is not peer-reviewed.
Submitted:
09 June 2019
Posted:
11 June 2019
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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
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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