非完备条件下的反函数定理

An Inverse Function Theorem in the Condition of Non-completeness

本文主要针对Banach空间中的(局部)反函数定理,考虑赋范线性空间中反函数的存在唯一性,并给出了非完备条件下反函数定理的等价条件。

In accordance with the local inverse function theorem in Banach space ,this article considers the unique existence of inverse function in Normed linear space, and proposes the equivalent condition of inverse function theorem in the condition of non-completeness.