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Journals / Konuralp Journal of Mathematics / 2023 / Volume: 11 Issue: 2

Approximating Common Fixed Point of Three $C$-$\alpha$ Nonexpansive Mappings

Seyit Temir(ADIYAMAN UNIVERSITY)
Zeynep Bayram(ADIYAMAN UNIVERSITY)
Pages
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Publication Date
2023-10-31
DOI
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AI Summary & Key Takeaways

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

We also numerically illustrate the common fixed point approximations of the presented iteration for the three $C$-$\alpha$ nonexpansive mappings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider a new class of nonlinear mappings presented in \cite{Shukla} that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings.
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Key Findings & Data:We introduce approximating common fixed point of three C-$\alpha$ nonexpansive mappings through weak and strong convergence of an iterative sequence in a uniformly convex Banach space.
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Conclusion & Impact:We also numerically illustrate the common fixed point approximations of the presented iteration for the three $C$-$\alpha$ nonexpansive mappings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Suzuki’s generalized nonexpansive mappings · α−nonexpansive mappings · Opial property

Abstract

In this paper, we consider a new class of nonlinear mappings presented in \cite{Shukla} that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We introduce approximating common fixed point of three C-$\alpha$ nonexpansive mappings through weak and strong convergence of an iterative sequence in a uniformly convex Banach space. We also numerically illustrate the common fixed point approximations of the presented iteration for the three $C$-$\alpha$ nonexpansive mappings.

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Cite This Article

Temir, S., Bayram, Z. (2023). Approximating Common Fixed Point of Three $C$-$\alpha$ Nonexpansive Mappings. Konuralp Journal of Mathematics, Volume: 11 Issue: 2. https://ajindex.com/articles/1521519

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