应用泛函分析学报2002,Vol.4Issue(4):311-316,6.
Hadamard良定性的统一研究
Unified Approach to Hadamard Well-Posedness
摘要
Abstract
In this paper, a unified theorem of Hadamard well-posedness is obtained for some nonlinear problems. From this unified theorem, it is easy to derive the Hadamard well-posed theorems for Ky Fan′s points, Nash equilibrium points, and so on. Moreover, generic well-posedness of optimization problems and saddle point problems are studied and two theorems are given.关键词
Hadamard良定性/集值映射/上半连续/Ky Fan点/Nash平衡点/通有良定性Key words
Hadamard well-posedness/set-valued map/upper semicontinuous/Ky Fan′s points/Nash equilibrium points/generic well-posedness分类
数理科学引用本文复制引用
俞超,俞建..Hadamard良定性的统一研究[J].应用泛函分析学报,2002,4(4):311-316,6.基金项目
Supported by National Science Foundation of China(10061002) (10061002)