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Dergiler / 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
Sayfa
35–39
Yayın Tarihi
2022-04-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we introduce a new iteration process for approximation of fixed points.
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Temel Bulgular & Veri:We numerically compare convergence behavior of our iteration process with other iteration process like M-iteration process.
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Sonuç & Katkı:Furthermore we give an example for generalized $\alpha-$nonexpansive mapping but does not satisfy $(C)$ condition.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (17)

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