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FC-空间上的相交定理及其应用
引用本文:朴勇杰,韩银环.FC-空间上的相交定理及其应用[J].黑龙江大学自然科学学报,2007,24(5).
作者姓名:朴勇杰  韩银环
作者单位:延边大学,理学院数学系,延吉,133002
基金项目: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。

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

Intersection theorem and its applications on FC-sapces
Piao Yongjie,Han Yinhuan.Intersection theorem and its applications on FC-sapces[J].Journal of Natural Science of Heilongjiang University,2007,24(5).
Authors:Piao Yongjie  Han Yinhuan
Abstract: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.
Keywords:FC-space  FC-subspace  transfer open[closed] map  section point  variational inequality
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