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Journals / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 1

On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme

Yunus Atalan
Pages
97–106
Publication Date
2019-04-15
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to obtain results of the strong convergence, rate of convergence and data dependence for a new three step iterative scheme using contraction mappings and to give examples for the rate of convergence and data dependence results.
📊
Key Findings & Data:After these numerical approachs, it can be seen that the new iterative scheme has a better rate of convergence with respect to the other iterative schemes in the literature.
💡
Conclusion & Impact:The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:A new iterative scheme · Strong convergence · Data Dependence

Abstract

The aim of this paper is to obtain results of the strong convergence, rate of convergence and data dependence for a new three step iterative scheme using contraction mappings and to give examples for the rate of convergence and data dependence results. After these numerical approachs, it can be seen that the new iterative scheme has a better rate of convergence with respect to the other iterative schemes in the literature. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

🔖

Cite This Article

Atalan, Y. (2019). On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 1, 97–106. https://ajindex.com/articles/786526

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