FC-空间上的相交定理及其应用  

Intersection theorem and its applications on FC-sapces

作　　者：朴勇杰[1] 韩银环[1] 

机构地区：[1]延边大学理学院数学系,延吉133002

出　　处：《黑龙江大学自然科学学报》2007年第5期624-627,共4页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10361005);延边大学科研项目

摘　　要：介绍了FC-空间的定义和该空间上的KKM映射,利用已有的FC-空间上的KKM定理得出相交定理,最后作为应用讨论了截口点的存在问题和变分不等式解的存在问题。The definition of FC - space and the concept of KKM map on this space were introduced, the intersection theorem on FC - space was obtained by using the well - known KKM theorem, and finally existence problem of section point and existence problem of solution for variational inequality were discussed as applications of intersection theorem.

关 键 词：FC-空间 FC-子空间 转移开[闭]映射 截口点 变分不等式 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]