新的代方法,用于近似固定点的一类的一般化 ([公式:见文本]) -nonexpansive绘图与应用Seir流行病模型的应用
Nadiyah Hussain Alharthi1, Godwin Amechi Okeke2, Akanimo Victor Udo3
1Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia.
Scientific reports
|March 3, 2026
概括
本研究引入了一种新的代方法,用于寻找一般化[公式:参见文本]-nonexpansive映射的固定点. 该方法统一现有技术,并显示出强烈的融合,与流行病建模中的应用.
科学领域:
- 固定点理论 固定点理论
- 非线性分析是一种非线性分析.
- 数字分析 数字分析
背景情况:
- 固定点理论对于解决各种科学领域的方程至关重要.
- 对于一般化[公式:参见文本] - - 非扩展性映射的现有代方法有局限性.
- 需要统一和强大的代方案.
研究的目的:
- 开发一种新的代方案,用于对一般化[公式:参见文本]-nonexpansive映射的固定点进行近似绘制.
- 统一和扩展现有的固定点代过程.
- 分析拟议方案的趋同性,稳定性和适用性.
主要方法:
- 构建一个新的代方案.
- 建立弱和强的收定理.
- 数据依赖性和稳定性的推导结果 ([公式:见文本]-稳定性和几乎[公式:见文本]-稳定性).
- 数字分析用于收率比较.
- 应用到 SEIR 流行病模型的小数微分方程.
主要成果:
- 拟议的方案将现有方法概括和统一.
- 弱收和强收都是在特定条件下建立的.
- 该方案显示了可取的稳定性 ([公式:见文本]-稳定性和几乎[公式:见文本]-稳定性).
- 数字示例证实了收率,并说明了该计划的有效性.
- 成功应用到一个分数SEIR流行病模型.
结论:
- 新的代方案是用于固定点近似的强大而灵活的工具.
- 这些发现推进了固定点理论及其在数学建模中的应用.
- 该计划的稳定性和适用性通过理论分析和实践示例来证明.
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