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

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

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

İsa Yildirim
Sayfa
—
Yayın Tarihi
2013-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Our results improve and extend corresponding results of [7, 10, 14, 18] to twoasymptotically quasi I-nonexpansive mappings.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Yildirim, İ. (2013). ON THE CONVERGENCE THEOREMS OF AN IMPLICIT ITERATION PROCESS FOR ASYMPTOTICALLY QUASI I-NONEXPANSIVE MAPPINGS. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 6. https://ajindex.com/articles/1403441

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Kaynakça (15)

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