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局部FCˉ一致空间内的联立广义矢量拟平衡问题组

Keywords: 重合点,紧闭集值映象,广义矢量拟平衡问题组,联立广义矢量拟平衡问题组,局部FCˉ一致空间

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Abstract:

在局部FCˉ一致空间内引入和研究了某些新的广义矢量拟平衡问题组和联立广义矢量拟平衡问题组.应用KKM型定理和作者在局部FCˉ一致空间得到的Himmelberg型不动点定理,首先在局部FCˉ一致空间内对两族集值映象证明了一个新的重合点定理.作为应用,在局部FCˉ一致空间内得到了广义矢量拟平衡问题组和联立广义矢量拟平衡问题组的解的某些新的存在性定理.这些结果推广了文献中某些已知结果.

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