In this thesis, first, we employ the fixed point theorem to establish the existence ofsolutionof 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。
2
Using the fixed point principle and the theory of differential inequality, we prove the existence of the solution and an uniformly valid asymptotic expansions of the solution is given as well.
利用不动点原理及微分不等式理论，我们证明了边值问题解的存在性，并给出了解的一致有效渐近展开式。
3
A new minimax inequality theorem is established, which will be used to study the existence problem ofsolution for a new class of generalized bi-quasi-variational inequality.