In this paper, we consider the system of variational inequalities with constraints.
本文考虑带约束的变分不等式系统。
This paper presents a new alternating direction method for a class of variational inequalities.
该文对于一类变分不等式提出了一种新的交替方向法。
In this paper, we propose a modified projection-type method of the general variational inequalities.
提出一个修改的投影类型方法来求解广义变分不等式。
A new auxiliary problem method for solving the general variational inequalities (GVIP) is constructed.
对广义变分不等式问题(GVIP)提出了一种新的辅助问题算法。
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。
We consider a kind of system of nonlinear variational inequalities (SNVI) and its related auxiliary problems.
研究了一类非线性变分不等式系统(SNVI)及其相关辅助问题，建立了辅助问题解的存在性定理。
The Boundary element approximation for the parabolic variational inequalities of the second kind is discussed.
讨论了第二类抛物型变分不等式的边界近似。
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。
I am a postgraduate, and my major is' Finite-Dimensional Variational Inequalities and Complementarity Problems'.
现在是一个在校研究生，专业是变分不等式。
The multiple reciprocity method (MRM) for the parabolic variational inequalities of the second kind was discussed.
本文讨论了第二类抛物型变分不等式中的MRM（多重互易方法）方法。
In the present paper some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric spaces.
摘要文章给出了超凸度量空间中的一些变分不等式定理和极大极小不等式定理。
A new minimax theorem and some theorems for variational inequalities with generalized monotone multivalued mapping in H-spaces are obtained.
得到H -空间中的一个新的极大极小定理和几个广义单调集值映象的变分不等式定理。
In Section 8, we shall discuss two-function minimax inequalities and their applications to variational inequalities and to fixed-point theory.
在第8章，我们将讨论两个函数极小极大不等式及其对变分不等式和不动点理论的应用。
Neural networks for solving a class of variant variational inequalities are studied under the necessary and sufficient conditions of the solution.
基于解的充分必要条件，讨论了一类变量变分不等式的神经网络方法。
In the paper, Existence theorem for generalized variational inequalities is established in locally FC-spaces space and its applications are presented.
文章提供关于局部FC -空间上的广义变分不等式的存在性定理，并给出它的一些应用。
A primal-dual neural network(PDNN)based on linear variational inequalities(LVIs)is introduced as the real-time solver for the resultant quadratic programming scheme.
提出了基于线性变分不等式的原对偶神经网络，并将其作为所对应的二次型规划方案的实时求解器。
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。
Moreover, four kinds of generalized vector quasi-variational-like inequalities, which are the generalization of vector variational inequalities, are defined and studied.
定义四类广义向量拟似变分不等式，并给出它们解存在的充分条件。
The relations of the vector F-complementarity problems, general vector variational inequalities, and least element problems of feasible set are given under certain conditions.
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 algorithm promoted the study of a multi-output support vector regression machine and provided a novel means to solve the problem of time-dependent variational inequalities.
文中给出的多输出支持向量回归机不仅推进了多输出支持向量回归机的研究，而且为解决依赖时间的变分不等式问题提供了一种新思路。
In this paper we present a smoothing Newton method for solving ball constrained variational inequalities. Global and superlinear convergence theorems of the proposed method are established.
研究球形约束变分不等式求解的算法，提出一种光滑化牛顿方法，证明了该方法具有全局收敛性和超线性收敛。
The oil film forces under free boundary conditions are solved by finite element discrete variational inequalities and iterative method based on complementary principle in linear programming.
利用有限元离散变分不等原理和基于线性规划余原理的迭代方法，求解自由边值条件下的油膜力。
In this paper, we first introduce a class of mixed variational-like inequalities problems.
本文中，我们首先给出了一类混合似变分不等式问题。
Secondly, the iterative algorithm for solving this class of mixed variational like inequalities is given by using this existence result.
其次，利用该存在性结果，给出了解这类混合似变分不等式的迭代算法。
Then, the perturbation problems of the mixed variational-like inequalities problems are studied.
接着研究了混合似变分不等式问题的扰动问题。
The auxiliary principle technique is extended to investigate a class of generalized set-valued strongly nonlinear variational-like inequalities.
本文延拓辅助原理的技巧，来研究一类广义集值强非线性混合似变分不等式。
Secondly, the iterative algorithm for solving this class of generalized strongly nonlinear mixed variational-like inequalities is given by using this existence result.
其次，利用该存在性结果，给出了解这类广义强非线性混合似变分不等式的迭代算法。
The existence of solutions for the mixed variational-like inequalities on multi-valued mapping was studied.
讨论了关于集值映象的混合似变分不等式的解的存在性。
The auxiliary principle technique is extended to study a class of generalized strongly nonlinear mixed variational-like inequalities for set-valued mappings without compact values.
延拓辅助原理的技巧研究一类取非紧值的集值映象的广义强非线性混合似变分不等式。
The auxiliary principle technique is extended to study a class of generalized strongly nonlinear mixed variational-like inequalities for set-valued mappings without compact values.
延拓辅助原理的技巧研究一类取非紧值的集值映象的广义强非线性混合似变分不等式。
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