摘要
研究了Banach空间中广义逆的扰动问题.给出了广义逆稳定的一些新特征,进而证明了这些稳定性特征与广义逆的选取无关,并由此得到了广义逆作为集值映射是下半连续的充要条件.
The perturbation problem of geaeralized inverse is studied. And some new stability characteristics of generalized inverses were presented. It was also proved that the stability characteristics of generalized inverses were independent of the choice of the generalized inverse. Based on this result, two sufficient and necessary conditions for the lower semi-continuity of generalized inverses as the set-valued mappings are given.
出处
《应用数学和力学》
CSCD
北大核心
2005年第12期1500-1506,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(1057115010271053)
