江慎铭, 邹群. FC-空间内的KKM型定理及应用[J]. 南昌航空大学学报(自然科学版), 2007, 21(4): 13-15.
引用本文: 江慎铭, 邹群. FC-空间内的KKM型定理及应用[J]. 南昌航空大学学报(自然科学版), 2007, 21(4): 13-15.
JANG Shen-ming, ZOU Qun. KKM type theorem in FC-space and its applications[J]. Journal of nanchang hangkong university(Natural science edition), 2007, 21(4): 13-15.
Citation: JANG Shen-ming, ZOU Qun. KKM type theorem in FC-space and its applications[J]. Journal of nanchang hangkong university(Natural science edition), 2007, 21(4): 13-15.

FC-空间内的KKM型定理及应用

KKM type theorem in FC-space and its applications

  • 摘要: 在不具有任何凸性结构和线性结构的有限连续空间(简称FC-空间)巾给出了KKM型定理.并应用此定理,在很弱的条件下证明了鞍点定理和Walras型定理,推广了近期文献中的一些相关的结果.

     

    Abstract: In this paper,a KKM type theorem is gained in FC-space without any convexity and linear structure.By applying the theorem,a coincidence theorem and a Walras type theorem are proved under weak assumptions,these theorems generalize some known results in recent literatures.

     

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