Bielecki重整技术的应用
Applications of the Bielecki renorming technique
摘要：
重赋范技术允许一个应用的巴拿赫压缩原则的地图，这是不是收缩相对于原来的度量。这种方法是由Bielecki发明的，并在一个非常优雅的证明中证明了常微分方程的整体存在性和唯一性定理。本文提供了进一步的扩展和应用Bielecki的方法的问题源于理论的泛函分析和函数方程。
英文摘要：
The renorming technique allows one to apply the Banach Contraction Principle for maps which are not contractions with respect to the original metric. This method was invented by Bielecki and manifested in an extremely elegant proof of the Global Existence and Uniqueness Theorem for ODEs. The present paper provides further extensions and applications of Bielecki's method to problems stemming from the theory of functional analysis and functional equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
