论文标题
实际功能的Krasnoselskii的固定点结果的一些扩展
Some extensions of Krasnoselskii's fixed point result for real functions
论文作者
论文摘要
我们将Krasnoselskii的固定点结果扩展到了非富裕功能。我们找到了希拉姆结果的新简单证明。在我们的方法中，我们不认为相关映射的图像是紧凑的或有界的。这样，我们将Hillam的结果扩展到了$ \ Mathbb r $上的自我构图。最后，我们为牛顿 - 拉夫森方法的全球融合提供了新的证明。
We extend Krasnoselskii's fixed point result to non-self-real functions. We find a new and simple proof for Hillam's result. In our approach, we don't assume the image of the related mapping to be compact or bounded. In this way, we extend Hillam's result to self-mappings on $\mathbb R$. Finally, we present a new proof for the global convergence of the Newton-Raphson method.
