By using a universal method a new existence theorem of solution for a generalized equilibrium problem in topological vector space is obtained.

通过一种具有普遍意义的方法，在线性拓扑空间中获得一个新的广义平衡问题解的存在性定理。

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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.

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。

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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.

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。

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