关于结合收缩与应用程序的结合收缩
Mohammed Shehu Shagari1, Manzuma Mustapha1, Hala H Taha2
1Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
Heliyon
|February 5, 2025
概括
这项研究引入了一种新的混合收缩法,结合了Jaggi,Meir-Keeler和Zamfirescu类型,以证明在完整的度量空间中的固定点定理. 这些发现为解决非线性弗雷德霍姆积分方程提供了新的方法.
科学领域:
- 数学分析的数学分析
- 固定点理论 固定点理论
背景情况:
- 在分析中,度量空间是基本的.
- 固定点理论寻求方程的解决方案.
- 现有的收缩类型有其局限性.
研究的目的:
- 引入一种新的混合收缩,将Jaggi,Meir-Keeler和Zamfirescu类型结合起来.
- 调查这个新收缩的固定点的存在和独特性.
- 应用新的收缩来解决非线性弗雷德霍姆积分方程.
主要方法:
- 开发一种新的混合收缩.
- 使用完整的度量空间的框架.
- 证明固定点的存在和独特性定理.
主要成果:
- 一个新的混合收缩成功地制定.
- 确定了固定点的存在和独特性条件.
- 一个验证的例子证明了结果的有效性.
结论:
- 新的混合收缩在固定点理论中提供了一个强大的工具.
- 这项研究为解决非线性弗雷德霍姆积分方程提供了新的标准.
- 这项工作扩大了固定点定理的适用性.
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