The existence and stability for weakly Ky Fan's points of set-valued mappings

被引:3
|
作者
Jia, Wensheng [1 ,2 ]
Xiang, Shuwen [2 ]
He, Jihao [2 ]
Yang, Yanlong [3 ]
机构
[1] Guizhou Univ, Coll Comp Sci & Informat, Guiyang 550025, Guizhou, Peoples R China
[2] Guizhou Univ, Coll Sci, Guiyang 550025, Guizhou, Peoples R China
[3] Guizhou Univ, Coll Technol, Guiyang 55004, Guizhou, Peoples R China
基金
中国国家自然科学基金;
关键词
weakly Ky Fan's points; set-valued mappings; C-concave; C-quasiconcave-like; essential solution; NASH EQUILIBRIUM POINTS; ESSENTIAL COMPONENTS; FIXED-POINT; INEQUALITY; THEOREM; GAMES;
D O I
10.1186/1029-242X-2012-199
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the notion of weakly Ky Fan's points of set-valued mappings is established, and we prove some existence theorems of weakly Ky Fan's points for functions with no continuity or space with no compactness. Then, from the viewpoint of the essential stability, we prove that most of problems in weakly Ky Fan's points (in the sense of Baire category) are essential.
引用
收藏
页数:7
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