对广义变分不等式问题(GVIP)提出了一种新的辅助问题算法。
A new auxiliary problem method for solving the general variational inequalities (GVIP) is constructed.
在研究广义变分不等式问题时，方法之一是构造一系列辅助问题来逼近原问题的解，即辅助原理技术；
When generalized variational inequality problem is studied, one method called auxiliary principle is to construct a series of auxiliary problems to approximate the original solution;
本文引入了几类向量f -互补问题并给出了向量f -互补问题与广义向量变分不等式之间的关系。
In this paper, we introduce several classes of vector F-complementarity problems and give relations between vector F-complementarity problems and general vector variational inequality problems.
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.
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.
首先，证明了这类广义强非线性混合似变分不等式的辅助问题解的存在性。
Firstly, the existence of solutions to the auxiliary problems for this class of generalized strongly nonlinear mixed variational-like inequalities is shown.
本文引入几类向量f -互补问题，并在一定条件下给出了向量f -互补问题，广义向量变分不等式以及可行集的最小元问题之间的相互关系。
The relations of the vector F-complementarity problems, general vector variational inequalities, and least element problems of feasible set are given under certain conditions.
然后，利用辅助原理技巧，构造了求解广义非线性混合拟似变分不等式问题的迭代算法。
So, in chapter 3, we consider how to use predictor-corrector algorithm to solve some variational inequalities.
然后，利用辅助原理技巧，构造了求解广义非线性混合拟似变分不等式问题的迭代算法。
So, in chapter 3, we consider how to use predictor-corrector algorithm to solve some variational inequalities.
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