摘要
引进不用凸包定义的广义对角拟凹与拟凸概念,利用广义KKM定理,得到推广的Ky Fan极小极大不等式;并证明这个极小极大不等式、广义KKM定理与广义Ky Fan截口定理,三者是等价的。最后,利用不用凸包定义的广义对角锥拟凸概念,得到强向量均衡问题解的存在定理。
The concept of generalized diagonal quasi-concavity （quasi-convexity）without convex hull was introduced.Using the generalized KKM theorem,we established a generalized Ky Fan minimax inequality, and which proved to be equivalent to the generalized KKM theorem.Finally,using the concept of generalized diagonal cone quasi-convexity without convex hull,we obtained an existence theorem of solution for strong vector equilibrium problem.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2014年第5期413-416,共4页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(11201216)
关键词
广义KKM定理
极小极大不等式
等价性
强向量均衡问题
generalized KKM theorem
minimax inequality
equivalence
strong vector equilibrium problem
