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。
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。
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。
Based on KKM technique, the existence of solution to a generalized vector equilibrium problem is studied.
利用KK M型引理，研究了在一般拓扑向量空间中的广义向量平衡问题解的存在性问题。
In this paper, the global existence and uniqueness of mild solution for the cauchy problem of a class of generalized equations of pulse transmission type with higher dimension are studied.
本文研究了一类高维广义神经传播方程初值问题的广义解整体存在性和唯一性。
Last, a kind of generalized nonlinear vector variational-like inequalities is presented and the solution existence for this kind of variational inequalities is given.
引进一类广义非线性向量似变分不等式，建立其解存在的充分条件。
Secondly, the existence and uniqueness of the generalized local solution is obtained using the contraction mapping principle.
然后利用压缩映象原理方法，证明了方程局部广义解的存在唯一性；
Under suitable conditions the existence, uniqueness and asymptotic behavior of the generalized solution for the problems are studied.
在适当的条件下，研究了问题广义解的存在、唯一性及其渐近性态。
In particular, we gain the existence result of non-zero solution for generalized variational inequalities.
特别给出了广义变分不等式存在非零解的充分条件。
In this paper, we mainly consider the existence of the generalized weakly efficient solution for Vector Optimization Problem.
利用此定理，得到了带广义不等式约束的向量优化问题的最优性必要条件和充分条件。
In this paper, we mainly consider the existence of the generalized weakly efficient solution for Vector Optimization Problem.
利用此定理，得到了带广义不等式约束的向量优化问题的最优性必要条件和充分条件。
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