摘要
在不具有任何凸性结构的一般拓扑空间中引入弱R-KKM映射,R-凸和R-β-拟凸这些新的概念.将Ky Fan匹配定理推广到一般拓扑空间中,即该文的引理1.2.利用引理1.2,在一般拓扑空间中证明了两个交定理.利用交定理,在一般拓扑空间中证明了一些Ky Fan型极大极小不等式.该文的结果推广和改进了文献中的相关结果.
The concepts of weakly R-KKM mappings, R-convex and R-β-quasiconvex in general topological spaces without any convex structure are introduced. Relating to these, an extension to general topological spaces of Fan＇s matching theorem is obtained, namely Lemma 1.2. On this basis, two intersection theorems are proved in topological spaces. By using intersection theorems, some minimax inequalities of Ky Pan type are also proved in topological spaces. The results generalize and improve the corresponding results in the literature.
出处
《应用数学和力学》
CSCD
北大核心
2007年第1期92-98,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10471113)
重庆市科委自然科学基金资助项目(CSTC
2005BB2097)
