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中文摘要：
引入F多值向量变分不等式问题（FMVVIP）,推广了已有的向量变分不等式问题.通过引入弱FC-伪单调映射和半连续映射的概念,并在此条件下给出FMVVIP解的存在定理.同时,还讨论了多值向量变分不等式问题与向量相补问题的等价关系.
英文摘要：
We introduce a extends the existing vector F multi -valued vector variational inequality problem （FMVVIP） which variational inequality. The concepts of weakly FC - pseudomonotone mappings and hemicontinuous mappins are introduced. Some existence results for FMVVI are obtained with the assumptions of weakly FC - pseudomonotonicity and hemicon - tinuity. And the relations among F multi -valued vector variational inequality（FMVVI） and F multi -valued vector complementarity problem（FMVCP） are discussed.
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