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局部FC一致空间内的广义拟变分包含组及其应用(II)

Keywords: 广义拟变分包含问题组,(联立)广义矢量拟平衡问题组,具有变分包含组约束和具有拟平衡组约束的数学规划,局部FC一致空间

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Abstract:

应用作者在局部FC一致空间得到的广义拟变分包含组解的存在性定理,在局部FC一致空间内,对广义矢量拟平衡问题组、联立广义拟平衡问题组、具有广义拟变分包含组约束的数学规划和具有广义拟平衡组约束的数学规划的解得到了某些新的存在性定理.这些结果在较弱的假设下将文献中很多已知结果从局部凸拓朴矢量空间的闭凸子集改进和推广到没有凸性结构的局部FC一致空间.

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