Coincidence theorems and minimax inequalities in abstract convex spaces

Journal of inequalities and applications

Yeol Je Cho¹ 

关键词: abstract convexity;    abstract convex space;    KKM theorem;    coincidence theorem;    minimax inequality;   

DOI  :  10.1186/1029-242X-2011-126

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky Fan's type minimax inequality. 26A51; 26B25; 54H25; 55M20; 47H10; 54A05.

【 授权许可】

CC BY