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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 3

Convergence and data dependence results for quasi-contractive type operators in hyperbolic spaces

Faik GÜRSOY
Hafız FUKHAR-UD-DİN
Abdul Rahim KHAN
Pages
373–388
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

It is shown that our results provide better convergence rate.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we simplify the iterative scheme introduced by Fukhar-ud-din and Berinde [Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparison of their Rate of Convergence in Convex Metric Spaces, Filomat 30 (1), 223230, 2016] and study convergence and data dependency of the new proposed scheme of a quasi-contractive operator on a hyperbolic space.
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Key Findings & Data:In this paper, we simplify the iterative scheme introduced by Fukhar-ud-din and Berinde [Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparison of their Rate of Convergence in Convex Metric Spaces, Filomat 30 (1), 223230, 2016] and study convergence and data dependency of the new proposed scheme of a quasi-contractive operator on a hyperbolic space.
💡
Conclusion & Impact:It is shown that our results provide better convergence rate.
🔬Design:Research Article
📍Scope:2016 Verileri
⚙️Variables:Data dependency · strong convergence · iterative scheme

Abstract

In this paper, we simplify the iterative scheme introduced by Fukhar-ud-din and Berinde [Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparison of their Rate of Convergence in Convex Metric Spaces, Filomat 30 (1), 223230, 2016] and study convergence and data dependency of the new proposed scheme of a quasi-contractive operator on a hyperbolic space. It is shown that our results provide better convergence rate.

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Cite This Article

GÜRSOY, F., FUKHAR-UD-DİN, H., KHAN, A. R. (2022). Convergence and data dependence results for quasi-contractive type operators in hyperbolic spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 3, 373–388. https://ajindex.com/articles/530010

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