论文标题
Bielecki重新培训技术的应用
Applications of the Bielecki renorming technique
论文作者
论文摘要
重生的技术允许人们将Banach收缩原理应用于与原始度量相对于原始度量的收缩的地图。该方法是由Bielecki发明的，并以极其优雅的证明是ODE的全球存在和独特定理。本文提供了BieLecki方法的进一步扩展和应用，用于源自功能分析和功能方程理论引起的问题。
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.
