| Hadamard良定性的统一研究 |
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| 引用本文： | 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. |
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| 作者姓名： | 俞超 俞建 |
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| 作者单位： | 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 |
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| 基金项目： | Supported by National Science Foundation of China(10061002) |
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| 摘 要： | 对一些非线性问题的Hadamard良定性给出一个统一的定理，应用这个定理，可以容易地推出KyFan点，Nash平衡点等的Hadamard良定性。此外，最优化问题和鞍点问题的通用良定性也被研究给出了两个定理。
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| 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 |
Unified Approach to Hadamard Well-Posedness |
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| YU Chao,YU Jian.Unified Approach to Hadamard Well-Posedness[J].Acta Analysis Functionalis Applicata,2002,4(4):311-316. |
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| Authors: | YU Chao YU Jian |
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| 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. |
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| Keywords: | Hadamard well-posedness set-valued map upper semicontinuous Ky Fan's points Nash equilibrium points generic well-posedness |
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