Weak KKM theorems in generalized finitely continuous space with applications

作者：Fang Min^*; Wang Lei

来源：Applied Mathematics and Mechanics (English Edition ), 2013, 34(10): 1291-1296.

DOI：10.1007/s10483-013-1745-x

• weak Knaster-Kuratouski-Mazurkiewicz (KKM) mapping
• generalized finitely continuous space (GFC-space)
• minimax inequality
• GFC-quasicovex

Some new weak Knaster-Kuratouski-Mazurkiewicz (KKM) theorems are proved under the noncompact situation in the generalized finitely continuous space (GFC-space) without any convexity. As applications, the minimax inequalities of the Ky Fan type are also given under some suitable conditions. The results unify and generalize some known results in recent literatures.

• 出版日期2013-10