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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Our results extend and generalize many known results from the current literature.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we study strong convergence of multi-step iterations with errors for a finite family of generalized asymptotically quasinonexpansive mappings in the framework of convex metric spaces.
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Key Findings & Data:The new iteration scheme includes modified Mann and Ishikawa iterations with errors, the three-step iteration scheme of Xu and Noor as special cases in Banach spaces.
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Conclusion & Impact:Our results extend and generalize many known results from the current literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized asymptotically quasi-nonexpansive mapping · multi-step iterations with errors · common fixed point
Abstract
In this paper, we study strong convergence of multi-step iterations with errors for a finite family of generalized asymptotically quasinonexpansive mappings in the framework of convex metric spaces. The new iteration scheme includes modified Mann and Ishikawa iterations with errors, the three-step iteration scheme of Xu and Noor as special cases in Banach spaces. Our results extend and generalize many known results from the current literature.
Keywords
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Cite This Article
SALUJA, G. S. (2022). Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 2, 209–225. https://ajindex.com/articles/530389