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Hadamard良定性的统一研究

俞超 俞建

应用泛函分析学报2002,Vol.4Issue(4):311-316,6.
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

俞超 1俞建2

作者信息

  • 1. 多伦多大学计算机系,加拿大,多伦多,M5S 3G4
  • 2. 贵州省科技厅,贵州,贵阳,550002
  • 折叠

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)

应用泛函分析学报

OACSCD

1009-1327

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