本文考虑带约束的变分不等式系统。
In this paper, we consider the system of variational inequalities with constraints.
讨论了第二类抛物型变分不等式的边界近似。
The Boundary element approximation for the parabolic variational inequalities of the second kind is discussed.
现在是一个在校研究生，专业是变分不等式。
I am a postgraduate, and my major is' Finite-Dimensional Variational Inequalities and Complementarity Problems'.
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.
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.
提出一个修改的投影类型方法来求解广义变分不等式。
In this paper, we propose a modified projection-type method of the general variational inequalities.
第三章主要用光滑化方法求解二阶锥约束变分不等式。
The third chapter mainly deals with the smooth method for second-order cone constrained variational inequality problems.
该文对于一类变分不等式提出了一种新的交替方向法。
This paper presents a new alternating direction method for a class of 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.
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 existence of solutions for the mixed variational-like inequalities on multi-valued mapping was studied.
本文研究集值向量变分不等式的严格可行性与可解性之间的关系。
In this paper, we investigate the relationship of strict feasibility and solv - ability for the multivalued vector variational inequality.
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.
研究位移障碍下的一个四阶变分不等式的非常规双参数有限元逼近。
Unconventional double set parameter finite element approximation for a fourth order variational inequality with displacement obstacle is considered.
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.
在黎曼流形上分别给出了伪不变凸函数和弱向量似变分不等式的概念。
The definitions of pseudo-invex function and weak vector variation-like inequality on Riemannian manifolds are presented.
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。
Neural networks for solving a class of variant variational inequalities are studied under the necessary and sufficient conditions of the solution.
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。
The multiple reciprocity method (MRM) for the parabolic variational inequalities of the second kind was discussed.
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。
Secondly, the iterative algorithm for solving this class of mixed variational like inequalities is given by using this existence result.
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.
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。
The auxiliary principle technique is extended to investigate a class of generalized set-valued strongly nonlinear variational-like inequalities.
近年来，变分不等式的解集非空有界与严格可行性的等价性被一些学者讨论。
Recently, some researchers have studied the equivalence betweenstrict feasibility and solution set being nonempty and bounded for variationalinequality problem.
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。
In the present paper some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric spaces.
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.
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.
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。
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。
Secondly, the iterative algorithm for solving this class of generalized strongly nonlinear mixed variational-like inequalities is given by using this existence result.
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