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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Volume: 42 Issue: 6

ON THE CONVERGENCE THEOREMS OFAN IMPLICIT ITERATION PROCESS FORASYMPTOTICALLY QUASII-NONEXPANSIVE MAPPINGS

ON THE CONVERGENCE THEOREMS OF AN IMPLICIT ITERATION PROCESS FOR ASYMPTOTICALLY QUASI I-NONEXPANSIVE MAPPINGS

İsa Yildirim
Pages
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Publication Date
2013-06-01
DOI
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AI Summary & Key Takeaways

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

Our results improve and extend corresponding results of [7, 10, 14, 18] to twoasymptotically quasi I-nonexpansive mappings.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we establish an implicit iterative process for convergenceto a common fixed point of two asymptotically quasi I-nonexpansivemappings in Banach spaces, and prove weak and strong convergenceof this process to a common fixed point of such mappings.
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Key Findings & Data:In this paper, we establish an implicit iterative process for convergenceto a common fixed point of two asymptotically quasi I-nonexpansivemappings in Banach spaces, and prove weak and strong convergenceof this process to a common fixed point of such mappings.
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Conclusion & Impact:Our results improve and extend corresponding results of [7, 10, 14, 18] to twoasymptotically quasi I-nonexpansive mappings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Asymptotically quasi I-nonexpansive mappings · Common fixed point · Uniformly convex Banach space

Abstract

In this paper, we establish an implicit iterative process for convergenceto a common fixed point of two asymptotically quasi I-nonexpansivemappings in Banach spaces, and prove weak and strong convergenceof this process to a common fixed point of such mappings. Our results improve and extend corresponding results of [7, 10, 14, 18] to twoasymptotically quasi I-nonexpansive mappings.

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Cite This Article

Yildirim, İ. (2013). ON THE CONVERGENCE THEOREMS OFAN IMPLICIT ITERATION PROCESS FORASYMPTOTICALLY QUASII-NONEXPANSIVE MAPPINGS. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 6. https://ajindex.com/articles/1403441

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