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Journals / Eastern Anatolian Journal of Science / 2026 / Volume: 12 Issue: 1

Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces

Nazlı Kadıoğlu Karaca(Atatürk Üniversitesi, Fen Fakültesi, Matematik Bölümü)
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Publication Date
2026-10-18
DOI
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AI Summary & Key Takeaways

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

The results extend and complement several existing convergence theorems for generalized nonexpansive mappings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate fixed point approximation for mappings satisfying the Hardy-Rogers-Suzuki-type condition in uniformly convex hyperbolic spaces.
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Key Findings & Data:By using a modified M-iteration process, we establish Δ-convergence and strong convergence results under suitable assumptions.
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Conclusion & Impact:The results extend and complement several existing convergence theorems for generalized nonexpansive mappings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · (HRSC)-condition · Generalized nonexpansive mapping

Abstract

In this paper, we investigate fixed point approximation for mappings satisfying the Hardy-Rogers-Suzuki-type condition in uniformly convex hyperbolic spaces. By using a modified M-iteration process, we establish Δ-convergence and strong convergence results under suitable assumptions. An example illustrating the applicability of the obtained results is presented. The results extend and complement several existing convergence theorems for generalized nonexpansive mappings.

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Cite This Article

Karaca, N. K. (2026). Convergence Results for Mappings Satisfying the (HRSC)-Condition in Uniformly Convex Hyperbolic Spaces. Eastern Anatolian Journal of Science, Volume: 12 Issue: 1. https://ajindex.com/articles/1475614

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