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British Journal of Mathematics & Computer Science
Article . 2014 . Peer-reviewed
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Addendum: On Convergence and Stability of the Generalized Noor Iterations for a General Class of Operators

Authors: Akewe, H; Olaleru, J.O.;

Addendum: On Convergence and Stability of the Generalized Noor Iterations for a General Class of Operators

Abstract

An error was pointed out by Prof. C. E. Chidume in the statements of our Theorems and Corollaries in [1]. The proof of all the Theorems and Corollaries are correct but the statements have flaws. The correct statements of the results are hereby stated. We define the multistep iteration as: Let E be a Banach space and T : E → E a self map of E. For x0 ∈ E, the multistep iterative scheme {xn}n=0 is defined by xn+1 = (1− αn)xn + αnTy n y n = (1− β n)xn + β nTy n , i = 1, 2, ..., k − 2, y n = (1− β n )xn + β n Txn, k ≥ 2 (1.1)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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