用Picard-Abbas迭代过程分析Suzuki广义非扩张映射的收敛性。

IF 2.6 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

PLoS ONE Pub Date : 2025-10-15 eCollection Date: 2025-01-01 DOI:10.1371/journal.pone.0334440

Bashir Nawaz, Krzysztof Gdawiec, Kifayat Ullah, Maha Noorwali, Maggie Aphane

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引用次数: 0

摘要

本文利用最近引入的Picard-Abbas迭代过程研究了Suzuki广义非扩张映射的收敛性。给出了相关不动点近似的弱收敛结果和强收敛结果。为了证明该方法的有效性，给出了一个数值算例。此外，我们基于所提出的迭代过程生成多项式图，并将其与现有方法产生的多项式图进行比较，突出了我们的方案提供的优势和视觉见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Convergence analysis of Suzuki's generalized nonexpansive mappings using the Picard-Abbas iteration process.

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Convergence analysis of Suzuki's generalized nonexpansive mappings using the Picard-Abbas iteration process.

This manuscript investigates the convergence behavior of Suzuki's generalized nonexpansive mappings using the recently introduced Picard-Abbas iteration process. We establish both weak and strong convergence results for the associated fixed-point approximations. To demonstrate the effectiveness of our approach, a numerical example is provided. Furthermore, we generate polynomiographs based on the proposed iteration process and compare them with those produced by existing methods, highlighting the advantages and visual insights offered by our scheme.

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来源期刊

PLoS ONE 生物-生物学

CiteScore

6.20

自引率

5.40%

发文量

14242

审稿时长

3.7 months

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