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Dergiler / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 4 Issue: 2

Controllability and Accumulation of Errors Arising in a General Iteration Method

Faik Gürsoy(ADIYAMAN UNIVERSITY)0000-0002-7118-9088
Abdul Rahim Khan(King Fahd University of Petroleum and Minerals)0000-0001-6695-0939
Kadri Doğan(ARTVİN ÇORUH ÜNİVERSİTESİ)0000-0002-6622-3122
Sayfa
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Yayın Tarihi
2021-06-01
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give conditions under which the accumulated-error in our iteration method is bounded and controllable in a permissible range.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we propose and analyze a three-step general iteration method which is a special case of an iteration method proposed in (S.
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Temel Bulgular & Veri:Appl. 52 (2006), 1107-1118).
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Sonuç & Katkı:We give conditions under which the accumulated-error in our iteration method is bounded and controllable in a permissible range.
🔬Tür:Research Article
📍Kapsam:2006 Verileri
⚙️Değişkenler:Error Analysis · Random Errors · TS iteration method

Abstract

In this paper, we propose and analyze a three-step general iteration method which is a special case of an iteration method proposed in (S. Thianwan and S. Suantai, Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings, Comput. Math. Appl. 52 (2006), 1107-1118). Here we intend to study directly the accumulation, estimation and control of random errors in the newly proposed general iteration method. We give conditions under which the accumulated-error in our iteration method is bounded and controllable in a permissible range.

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Bu Makaleye Atıf Yap

Gürsoy, F., Khan, A. R., Doğan, K. (2021). Controllability and Accumulation of Errors Arising in a General Iteration Method. Fundamental Journal of Mathematics and Applications, Volume: 4 Issue: 2. https://doi.org/10.33401/fujma.812274

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Kaynakça (19)

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