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December 2020 Comparison rate of convergence and data dependence for a new iteration method
Samet Maldar, Yunus Atalan, Kadri Dogan
Tbilisi Math. J. 13(4): 65-79 (December 2020). DOI: 10.32513/tbilisi/1608606050

Abstract

In this paper, we have defined hyperbolic type of some iteration methods. The new iteration has been investigated convergence for mappings satisfying certain condition in hyperbolic spaces. It has been proved that this iteration is equivalent in terms of convergence with another iteration method in the same spaces. The rate of convergence of these two iteration methods have been compared. We have investigated data dependence result using hyperbolic type iteration. Finally, we have given numerical examples about rate of convergence and data dependence.

Funding Statement

This work has been supported by Research Fund of the Aksaray University. Project Number: 2018-042.

Citation

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Samet Maldar. Yunus Atalan. Kadri Dogan. "Comparison rate of convergence and data dependence for a new iteration method." Tbilisi Math. J. 13 (4) 65 - 79, December 2020. https://doi.org/10.32513/tbilisi/1608606050

Information

Received: 20 January 2020; Accepted: 24 September 2020; Published: December 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4194229
Digital Object Identifier: 10.32513/tbilisi/1608606050

Subjects:
Primary: 47H09
Secondary: 47H10

Rights: Copyright © 2020 Tbilisi Centre for Mathematical Sciences

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Vol.13 • No. 4 • December 2020
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