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Journals / Journal of Mathematical Sciences and Modelling / 2022 / Cilt: 5 - Sayı: 1

Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process

Seyit TEMİR
Öznur KORKUT
Pages
35–39
Publication Date
2022-04-30
DOI
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AI Summary & Key Takeaways

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

Furthermore we give an example for generalized $\alpha-$nonexpansive mapping but does not satisfy $(C)$ condition.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we introduce a new iteration process for approximation of fixed points.
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Key Findings & Data:We numerically compare convergence behavior of our iteration process with other iteration process like M-iteration process.
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Conclusion & Impact:Furthermore we give an example for generalized $\alpha-$nonexpansive mapping but does not satisfy $(C)$ condition.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Uniformly convex Banach spaces · iteration processes · generalized $\alpha-$nonexpansive mappings

Abstract

In this paper we introduce a new iteration process for approximation of fixed points. We numerically compare convergence behavior of our iteration process with other iteration process like M-iteration process. We also prove weak and strong convergence theorems for generalized $\alpha-$nonexpansive mappings by using new iteration process. Furthermore we give an example for generalized $\alpha-$nonexpansive mapping but does not satisfy $(C)$ condition.

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Cite This Article

TEMİR, S., KORKUT, Ö. (2022). Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process. Journal of Mathematical Sciences and Modelling, Cilt: 5 - Sayı: 1, 35–39. https://ajindex.com/articles/777558

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