西北师范大学学报（自然科学版）2017，Vol.53Issue(6)：1-5,5.DOI:10.16783/j.cnki.nwnuz.2017.06.001
有限理性与图像拓扑下Ky Fan截口定理问题的稳定性
Bounded rationality and stability of the problems of Ky Fan's section theory in the sense of graph topology
摘要
Abstract
In this paper,a metric is defined by using the Hausdorff distance of graphs of set-value mappings,and bounded rational model for the problems of Ky Fan's section theory is established in the sense of graph topology.By virtue of the unfied stability method of bounded rational model for nonlinear problems,it is proved that the most of the problems of Ky Fan's section theory (in the sense of Baire) are structurally stable and robust to the set of ε-approximate solutions,thus the set of ε-approximate solutions obtained under bounded rationality can be approximated by the set of solutions under completely rational conditions.关键词
Ky Fan截口定理问题/图像拓扑/有限理性/稳定性Key words
Ky Fan's section theory/graph topology/bounded rationality/stability分类
数理科学引用本文复制引用
何基好,向淑文,贾文生..有限理性与图像拓扑下Ky Fan截口定理问题的稳定性[J].西北师范大学学报（自然科学版）,2017,53(6):1-5,5.基金项目
国家自然科学基金资助项目(11161008,11561013) （11161008,11561013）
教育部博士点基金资助项目(20115201110002) （20115201110002）
