非光滑映射的局部满射定理(英文)

Local Surjectivity Theorem for Non-smooth Mapping

本文首先将IvarEkeland新近证明的一个反函数定理,推广到非光滑映射的情形.以此结果为基础结合线性算子广义逆的稳定性理论给出B.H.Pourciauhas关于非光滑映射的局部满射定理的一个新的证明,新证明方法较原先作者的方法更简洁.

In this paper,we first generalize Ekeland＇s recent inverse function theorem to the case of non-smooth functions. Then based on this generalization and the perturbation theory of generalized inverse of linear operators,we give a new proof for the classical non-smooth local surjectivity theo- rem of B. H. Pourciauhas as an application.