固定点理论中的泛化及其阴影与光明

English | 2024 | ISBN: 9781032690674 | 333 pages | True PDF,EPUB | 9.29 MB

Fixed point theory is a powerful tool in nonlinear analysis, with applications in fractional differential equations and other areas. The most prominent application/conclusion of this theory is the Banach contraction principal. The notion of invisible graphs, introduced here for the first time, will find applications in different areas of science.

The book examines the classical techniques of this theory with a critical approach, along with the emergence of various generalizations in its evolution. Using the latest theories of the philosophy of science, the author aims to provide a philosophical explanation for the gaps in the fixed point theory and introduce the reader to profound mathematical-philosophical challenges.

固定点理论在非线性分析中是一个强大的工具，应用领域包括分数阶微分方程等。该理论最突出的应用/结论之一是巴拿赫压缩原理。本文首次引入了“隐形图”的概念，这一概念将在科学的不同领域找到应用。 本书采用批判性的视角审视这个理论的经典方法，并且观察其演进过程中出现的各种推广。借助最新的科学研究哲学理论，作者旨在为固定点理论中的空白提供哲学解释，并引导读者了解深刻的数学与哲学挑战。

---

Download from free file storage

 Download from rapidgator.net  Download from nitroflare.com

---

我要反馈

---

本站不对文件进行储存，仅提供文件链接，请自行下载，本站不对文件内容负责，请自行判断文件是否安全，如发现文件有侵权行为，请联系管理员删除。