距离空间之间的非线性Lipschitz-算子

Nonlinear Lipschitz-ɑ Operators among Metric Spaces

引入并研究了两个距离空间之间、距离空间与Banach空间之间的Lipschitz-α算子,讨论了这类算子的可逆性,并给出了可逆性的一个扰动定理。

This paper introduces nonlinear Lipschitz - α operators between two metric spaces and those between metrie. space and Banach space. The invertibility of these operators is discussed. Moreover, the perturbation theory of invertibility is proved.