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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2023 / Volume: 52 Issue: 6

Algorithm analysis of solving fixed point of nonexpansive mappings based on runge-kutta method

Xiangyao Li0000-0002-0877-7995
Li-jun Zhu(North Minzu University)0000-0001-8883-5034
Mihai Postolache(University Politehnica of Bucharest)0000-0003-0738-787X
Sayfa
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Yayın Tarihi
2023-11-03
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We show that the second algorithm is bounded perturbations resilient, and it is strongly convergent.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In order to solve the fixed point of nonexpansive mappings, we propose two iterative algorithms based on runge-kutta method.
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Temel Bulgular & Veri:The first algorithm is focused on solving the fixed point problem of a single nonexpansive mapping, and weak convergence has been proved. we suggest the second algorithm by dynamic string-averaging rule.
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Sonuç & Katkı:We show that the second algorithm is bounded perturbations resilient, and it is strongly convergent.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:nonexpansive mapping · common fixed point · runge-kutta method

Abstract

In order to solve the fixed point of nonexpansive mappings, we propose two iterative algorithms based on runge-kutta method. The first algorithm is focused on solving the fixed point problem of a single nonexpansive mapping, and weak convergence has been proved. we suggest the second algorithm by dynamic string-averaging rule. It can be used to find a common fixed point of a family of finite nonexpansive mappings. We show that the second algorithm is bounded perturbations resilient, and it is strongly convergent.

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Bu Makaleye Atıf Yap

Li, X., Zhu, L., Postolache, M. (2023). Algorithm analysis of solving fixed point of nonexpansive mappings based on runge-kutta method. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 6. https://ajindex.com/articles/1402149

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Kaynakça (20)

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