查询词典 problem of fixed points

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

The main work of this thesis is simulation study on the basis of large sample properties for two estimates by Monte Carlo method with some models. We consider the problem of the choice of window width, consistent rate and some doubtful points about consistent rate with fixed sample size.

本文的主要工作是依据大样本性质，对特定模型的这两种估计用Monte Carlo方法进行了模拟试验，讨论了长度有限的样本情况下窗宽的选择问题，比较了两种估计的拟合程度，相合速度并提出了对相合速度的一些疑难点。

Lastly, the existence theorem of three positive solutions for the boundary value problem of second-order singular functional differential equation be established by applying the index theory of fixed points in a cone.

最后，我们应用锥上的不动点指标理论建立了二阶非线性奇异泛函微分方程边值问题的三个正解的存在性定理。

This paper studied the iterative approximation problem of fixed points for asymptotically quasi-nonexpansive type mappings with mixed errors in uniformly convex Banach space.

研究了一致凸Banach空间中渐近拟非扩张型映象不动点具混合误差的迭代逼近问题，改进和推广了相关文献的结果。

Several experimental applications have been developed finally. In this paper, there areinnovations from the following four aspects:1. Definition and research methods of current distributed system and distributedinteractive simulation system follow those of traditional parallel computing system.While this paper points out it is one-sided to measure the scalability just from thenumber of processors and performance of a system, because the resources of distributed systems are heterogeneous and they can be used in diverse applications. Inthis paper, scalability of distributed interactive simulation platform is defined as theability of scaling (including scale-up and scale-down) in functionality and performanceof systems which is run on the platform when number of processors and otherhardware resources such as network change, i.e. when problem size is scaled up and system resources is increased, the performanceremains fixed and it is easy to expand the functions of simulationapplications.

本文的创新工作主要体现在下述4个方面：1、现有的分布式系统和分布式交互仿真系统可扩性的定义和研究方法都沿用了传统的并行计算系统可扩性的定义和研究方法，本文指出分布式系统的系统资源异构多样、应用种类丰富多样，只从传统方法采用的处理机资源和性能角度衡量一个系统是否可扩是有一定的片面性，提出了分布式交互仿真平台可扩性的定义是在处理机和网络等系统资源变化时，运行在平台上的分布式交互仿真系统在性能和功能方面发生扩缩的能力，即当问题规模扩大时，增加系统资源，系统能获得指定的性能及在功能方面能方便进行扩充。

By properties of a real function, fixed points problem on two complete metric spaces are discussed.The result generalizes corresponding result of Fisher.Moreover, this result provides a general convergence rate estimate. Meanwhile, we discuss the existence of fixed point on two normed linear spaces under the condition of weak topology, and we obtain a new fixed point theorem.

利用实函数性质，讨论了两个不同度量空间中两个映象乘积的不动点问题，推广了Fisher的主要结果，并给了出逼近不动点的敛速估计；同时，在弱拓扑的意义下，利用分析的方法，讨论了赋范空间中有关映象不动点的存在性，得到一个新的不动点定理。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。