一致度量拓扑意义下参数最优化问题解的稳定性  

The Generic Stability on Solutions of Parametric Optimization Problems under Uniform Topology

作　　者：杨光惠[1] 向淑文[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2009年第5期19-22,共4页Journal of Guizhou University:Natural Sciences

摘　　要：在一致度量拓扑意义下,研究了参数最优化问题解的通有稳定性。针对目标函数空间,引进了函数的一致度量拓扑,结合上图拓扑意义下该问题解的稳定性结果,通过巧妙构造辅助映射,得到了参数最优化问题的解具有通有稳定性。The generic stability on their solutions of parametric optimization problems was proved under uniform topology. According to the generic stability under epigraph topology, by way of ingeniously constructing an assistant mapping, the generic stability on their solutions of parametric optimization problems was obtained when the topology of an objective function space was defined as uniform topology.

关 键 词：一致度量拓扑 参数最优化 通有稳定性 

分 类 号：O177.91[理学—数学] O224[理学—基础数学]