接着研究了混合似变分不等式问题的扰动问题。
Then, the perturbation problems of the mixed variational-like inequalities problems are studied.
本文中，我们首先给出了一类混合似变分不等式问题。
In this paper, we first introduce a class of mixed variational-like inequalities problems.
利用这些概念和标量导数研究了变分不等式问题解的存在性。
In this paper, the existence of solution to the variational inclusions concerning intermediate derivatives is discussed in the Banach space.
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.
本文研究位移障碍下二阶变分不等式问题在各向异性网格上的非协调有限元逼近。
Studied in this paper is the nonconforming finite element approximation to the second order variational obstacle problem with displacement obstacle on the anisotropic meshess.
本文主要讨论求解非线性方程组问题与变分不等式问题的迭代算法。全文共分三章。
This thesis includes three chapters, which mainly discusses the iterative algorithms for solving nonlinear equations problems and nonlinear variational inequality problems.
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.
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.
给出求解单调变分不等式问题的一个近似邻近点算法，在不需要任何中间步骤的条件下证明算法的收敛性。
This paper presents a approximate proximal algorithm finding the zero of a maximal monotone operator in Hilbert space, whose error criterion is weaker than that in the literatures.
在一般可行集下，结合非光滑方程组解法及投影映射的性质，讨论了法方程求解变分不等式问题的算法构成。
Under general feasible set, in consideration of the algorithms for nonsmooth equations and the properties of projection map, the algorithms using the normal equation to solve are discussed.
它与不动点理论，变分不等式问题，线性和非线性分析，以及其他领域的应用数学如经济，平衡问题等都有密切的联系。
It has an important relation with stationary point theories, variational inequality, linear and nonlinear analysis, and some applied mathematical problems such as economic and equilibrium problems.
本文对现有的变分不等式问题的二次外梯度投影算法进行分析，并对可行域为球的二次外梯度投影算法的计算过程进行简化。
This paper makes an analysis of this quadratic outer gradient project algorithms and simplifies the process of the computation of projection needed in this method for the case of domain being a ball.
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。
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.
薄膜障碍问题是第一类椭圆型变分不等式的代表性模型。
The obstacle problem is the typical example of the elliptic variational inequality of the first kind.
本文讨论了一类抛物型变分不等式的近似收敛问题。
A convergence estimate and approximation for a kind of parabolic variational inequality is discussed.
从变分不等式出发，结合有限元，建立了按增量求解薄板弹塑性弯曲问题的线性互补方程。
Finite Elemnent-Linear Complementary Equation is established for analysis of elastoplastic thin plate-bending problems based on variational inequality principle.
利用其等价的抛物拟变分不等式，得到了该问题古典解的存在唯一性。
We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality.
作为应用，得到一类参数向量优化问题和参数向量变分不等式的解的连续性。
As its applications, the continuity of solution mappings for a class of parametric vector optimization problem and parametric vector variational inequality is obtained.
本文对混合拟似变分包含问题提出新的辅助变分不等式，首先证明辅助变分不等式存在唯一解。
This paper presents a new auxiliary variational inequality for solving mixed quasi-variational-like inclusions. First, proved the auxiliary variational inequality has unique 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.
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.
本文讨论了一类抛物型变分不等式的近似收敛问题。
This paper discusses a class of degenerate linear parabolic differential inequations.
同时利用序补问题与隐变分不等式的关系给出了隐变分不等式解的存在性的新条件。
Then, using the relation between the order complementarity problem and implicit varational problems, the author gave some new results on implicit varational problems.
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.
第三部分讨论最高阶偏导数项具有时滞的变分不等式的最优控制问题。
Finally in the third part, we study the optimal control problems for the variational inequality with delays in the highest order spatial derivatives.
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.
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。
We consider a kind of system of nonlinear variational inequalities (SNVI) and its related auxiliary problems.
我们考虑了这类变分不等式解的存在性及迭代逼近算法问题。
There are many iterative algorithms for the solution of variational inequality and fixed point of mappings.
在每步迭代计算中，新方法提出了易于计算的子问题，该子问题由强单调的线性变分不等式和良态的非线性方程系统构成。
At each iteration, the proposed subproblem consists of a strongly monotonic linear variational inequality and a well-conditioned system of nonlinear equations, which is easily to be solved.
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