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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 - Sayı: ÖZEL SAYI I

Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples

Osman ALAGOZ
Birol GÜNDÜZ
Sezgin AKBULUT
Pages
162–174
Publication Date
2020-02-28
DOI
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AI Summary & Key Takeaways

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

We also supported our theoretical findings via numerical examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper firstly, we compared rates of convergences of some iteration processes which converge faster than Picard, Mann, Ishikawa and S-iteration processes.
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Key Findings & Data:Then, we proved some strong and weak convergence theorems for the fastest iteration process for Suzuki’s generalized non-expansive mapping in Banach spaces.
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Conclusion & Impact:We also supported our theoretical findings via numerical examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Suzuki’s non-expansive mapping · rate of convergence · fixed point

Özet

In this paper firstly, we compared rates of convergences of some iteration processes which converge faster than Picard, Mann, Ishikawa and S-iteration processes. Then, we proved some strong and weak convergence theorems for the fastest iteration process for Suzuki’s generalized non-expansive mapping in Banach spaces. We also supported our theoretical findings via numerical examples.

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Cite This Article

ALAGOZ, O., GÜNDÜZ, B., AKBULUT, S. (2020). Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: ÖZEL SAYI I, 162–174. https://ajindex.com/articles/233931

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References (16)

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