近年来，变分不等式的解集非空有界与严格可行性的等价性被一些学者讨论。

Recently, some researchers have studied the equivalence betweenstrict feasibility and solution set being nonempty and bounded for variationalinequality problem.

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建立了一个新的极大极小不等式，并利用它研究了仿紧集上一类新型广义双拟变分不等式解的存在性问题。

A new minimax inequality theorem is established, which will be used to study the existence problem of solution for a new class of generalized bi-quasi-variational inequality.

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本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。

In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.

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