在一些固定点上,使用模拟函数的结果通过与应用程序的距离
Said Atallaoui1, Fady Hasan2, Wasfi Shatanawi2,3,4
1Department of Mathematics, Ziane Achour University, Djelfa 17000, Algeria.
Heliyon
|April 25, 2024
概括
研究人员使用模拟函数和w距离映射引入了一个新的
科学领域:
- 数学分析的数学分析
- 固定点理论 固定点理论
- 尺度空间 尺度空间
背景情况:
- 该研究建立在数学分析中模拟函数的既定概念之上.
- 它解决了在w距离映射框架内需要新的收缩原理的需求.
研究的目的:
- 介绍和定义一个名为
- -contraction的新概念. - 使用这个概念在完整的度量空间中建立新的固定点定理.
- 证明新结果对非线性微分方程,积分方程和弹质量系统的适用性.
主要方法:
- 基于模拟函数和w-距离映射的
- -收缩概念的开发. - 定点定理在完整的度量空间中的表述和严格证明.
- 应用理论结果来解决特定类型的非线性方程和物理系统.
主要成果:
- 对于在完整的度量空间中
- -收缩,建立了几个新的固定点结果. - 提供了具体的例子,以说明衍生定理的实际实用性和有效性.
- 这项研究表明,对于非线性分数微分方程,非线性积分方程和弹质量系统,存在独特的解决方案.
结论:
- 新推出的
- -收缩概念为固点理论提供了一个强大的工具. - 这些发现显著地概括和扩展现有的现场结果.
- 该研究强调了新框架对各种数学和应用问题的广泛适用性.
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