| FC-空间上的相交定理,不等式系解的存在定理 |
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| 引用本文： | 朴勇杰,金海兰.FC-空间上的相交定理,不等式系解的存在定理[J].纯粹数学与应用数学,2009,25(4):671-676. |
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| 作者姓名： | 朴勇杰 金海兰 |
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| 作者单位： | 延边大学理学院数学系,吉林,延吉,133002 |
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| 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.
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| 关 键 词： | FC-空间 FC-子空间 KKM映射 转移闭值映射 下半连续 |
Intersection theorems,existence theorems for solution of inequality system on FC-spaces |
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| PIAO Yong-jie,JIN Hai-lan.Intersection theorems,existence theorems for solution of inequality system on FC-spaces[J].Pure and Applied Mathematics,2009,25(4):671-676. |
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| Authors: | PIAO Yong-jie JIN Hai-lan |
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| Institution: | PIAO Yong-jie,JIN Hai-lan (Department of Mathematics,Yanbian University,Yanji 133002,China) |
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| Abstract: | 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. |
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| Keywords: | FC-space FC-subspace KKM map transfer closed valued map lower semicontinuous |
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