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arXiv · 1703.10357

Convergence rate of implicit iteration process and a data dependence result

Isa Yildirim·Mujahid Abbas
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Abstract

The aim of this paper is to introduce an implicit S-iteration process and study its convergence in the framework of W-hyperbolic spaces. We show that the implicit S-iteration process has higher rate of convergence than implicit Mann type iteration and implicit Ishikawa-type iteration processes. We present a numerical example to support the analytic result proved herein. Finally, we prove a data dependence result for a contractive type mapping using implicit S-iteration process.

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Isa Yildirim, Mujahid Abbas. 2017-03-30. Convergence rate of implicit iteration process and a data dependence result. https://arxiv.org/abs/1703.10357

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