查询词典 monotone nonincreasing function

By using hybrid projection method,a new iteration sequence of maximal monotone operator with errors is given in Banach space.

在Banach空间中，采用杂交投影的方法构造了带误差项的极大单调映像零点的迭代算法，利用Lyapunov泛函和杂交投影的性质，证明了该算法的强收敛性。

The methods split the operator to the sum of two maximal monotone operator and in each iteration one has to compute the resolvent of one of the operators.

针对此问题，求解极大单调算子的零点的另一个常用算法-分裂算法，将原来的算子分裂为两个算子之和，在每一步迭代中，只需求出其中一个算子的预解式。

One of the classical method of the problem of finding zeros of maximal monotone operator is proximal point algorithm, which solve the problem by solving a series well-conditioned sub-problems.

1我们首先给出投影松弛邻近点算法，用来求解给定区域内的零点，其每一步迭代可以是不精确的。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis. It provides a powerful general framework for the study of nonlinear partial differential equations, nonlinear integral equations, control theory, optimization. Practically, it has be applied abroad in physics, economics and engineering.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济学、工程学等应用学科也有着广泛的应用。

We construct some new iterative algorithms with errors for solving these generalized fuzzy variational inclusions by using the resolvent operator technique for maximal η-monotone mappings and prove the convergence of iterative sequences generated by the algorithms.

为了利用η-极大单调映象的预解算子技巧求解这类广义模糊变分包含，我们建立了一些新的含误差的迭代算法，并证明了由这类算法产生的迭代序列的收敛性。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

By employing the approaches for upper and lower solutions and monotone iterative technique, the authors have obtained the sufficient conditions for the existence of coupled maximal solution and minimal solution.

通过上下解方法和单调迭代技术得到了边值问题存在耦合极大解β-和极小解α-的充分条件。

On the one hand,by using the monotone iterative method with upper and lower solutions or anti-order upper and lower solutions,the author obtains the existence of maximum solution and minimum solution.

存Banach空间，一方面运用一般上下解及反序上下解单调迭代方法，并结合非紧性测度的性质，研究了二阶常微分方程周期边值问题最大解与最小解的存在性。

In Chapter 3,almost monotone approximation isproposed for nonlinear two-point boundary value problems.

在第三章，我们提出了非线性两点边值问题的几乎单调逼近。

In order to solve this problem, based on monotone approximation of inverse distribution functions, synchronization is achieved.

论文也给出了在函数不具有单调性的假定下，公共随机数法可以衰减方差的一个定理和函数具有单调性时的两个推论。

But GST= 0.156, Nm=1. 588. As a result, the foundation of Youyongchi Avicennia marina population was the result of the migration of hypocotyles and human factors.

这项工作可以为海岸防护林中新引进种类的判定以及为研究种群建立者效应方法的确定提供科学依据。

The two-dimensional CDRC-ADI-FDTD update equations for collision unmagnetized plasma are induced. The unconditional stability of the CDRC-ADI-FDTD formulation for collision unmagnetized plasma is obtained by the examples.

推导了碰撞非磁化等离子体中的二维CDRC-ADI-FDTD迭代公式，并用算例验证了碰撞非磁化等离子体CDRC-ADI-FDTD算法也是无条件稳定的。