Preprint Article Version 1 This version is not peer-reviewed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. 

Subject Areas

Banach space; iterative sequences; stability; fixed points

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