应用数学2013，Vol.26Issue(1)：45-50,6.
非光滑映射的局部满射定理
Local Surjectivity Theorem for Non-smooth Mapping
摘要
Abstract
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 theorem of B.H.Pourciauhas as an application.关键词
局部满射定理/Ekeland变分原理/非光滑映射/线性算子广义逆Key words
Local surjective theorem/ Ekeland variational principle/ Non-smooth mapping/ Right inverse分类
数理科学引用本文复制引用
方正..非光滑映射的局部满射定理[J].应用数学,2013,26(1):45-50,6.基金项目
Supported by the NSFC(11001108) （11001108）
