一种新的巧合点方法通过近位收缩与应用得到结果
Haroon Ahmad1, Umar Ishtiaq2, Mohammad Akram3
1Abdus Salam School of Mathematical Sciences, Government College University, Lahore, 54600, Pakistan. haroonrao3@gmail.com.
Scientific reports
|November 21, 2025
概括
这项研究建立了巧合点理论,使用F-收缩在扩展的超直径空间. 它将这些发现应用于解决航天器热辐射中的非线性边界值问题,展示了固定点理论的实际应用.
科学领域:
- 数学分析的数学分析
- 应用数学 应用数学 应用数学
- 太空技术 太空技术
背景情况:
- 巧合点理论对于理解复杂的数学关系至关重要.
- 扩展的超直径空间为先进的理论分析提供了一个框架.
- 收缩映射是固定点理论中的基本工具.
研究的目的:
- 用F-收缩在完整的扩展超直径空间中建立巧合点理论.
- 调查最佳接近点理论和从这些收缩中得出的固定点结果.
- 分析这些理论对空间技术中非线性边界值问题的实际应用.
主要方法:
- 使用F-收缩及其变体 (例如,近接式,理性近接式收缩).
- 开发和演示最好的近距离点理论,并提供支持的例子.
- 将固定点理论应用于非线性边界值问题,模拟航天器的热辐射.
主要成果:
- 确立的碰撞点理论与新的收缩类型.
- 证明了碰撞点,最接近点和固定点之间的关系.
- 通过使用斯蒂芬-博尔茨曼定律解决航天器温度分布问题的实际应用.
结论:
- 开发的收缩方法提供了具有实用意义的强有力的理论发现.
- 固定点理论对于解决太空技术中的现实问题至关重要,特别是航天器的热管理.
- 该研究将理论数学概念与切实的工程挑战联系起来.
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