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FC-空间内广义拟变分关系问题组及其应用(英)

, PP. 700-711

Keywords: 极大元,广义拟变分关系问题组,具有模糊约束的约束矢量Nash平衡问题,拟-KKM型问题,广义拟变分包含问题组,FC-空间

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Abstract:

在没有凸性结构的FC-空间内引入和研究了一类新的广义拟变分关系问题组.由使用作者对集值映像建立的极大元存在性定理,在非紧FC-空间内对广义拟变分关系问题组的解证明了某些新的存在性定理.作为应用,在相当温和的假设下得到了集值映像族的新的拟-KKM型定理,具有模糊约束的约束矢量Nash平衡问题和广义拟变分包含问题解的新的存在性结果.

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