FC-空间上的相交定理,不等式系解的存在定理  

Intersection theorems,existence theorems for solution of inequality system on FC-spaces

作　　者：朴勇杰[1] 金海兰[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《纯粹数学与应用数学》2009年第4期671-676,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(10361005)

摘　　要：给出了没有任何凸结构的FC-空间上相交定理,并利用此结论得到了变分不等式解的存在定理.最后作为应用,给出了互为等价的集族的相交定理和不等式系的公共解的存在定理,所得结论推广和改进了文献中的相应结果.An intersection theorem on FC-spaces without any convex structure is given, and from which, the existence theorem for solution of a variational inequality is obtained. Finally, as applications, the equivalent intersection theorem of sets and existence theorem for common solution of inequality system are given. Our results generalize and improve the corresponding conclusions in the literature.

关 键 词：FC-空间 FC-子空间 KKM映射 转移闭值映射 下半连续 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]