压缩映射

The concepts of accretive mapping and pseudo-contractive mapping wereintroduced by the studying of nonlinear evolution equations,many significantproblems and engineer problems can be modeled in terms of the form.

中文摘要：增生与伪压缩映射的概念是在研究Banach空间中的非线性方程解的存在性问题时提出的，许多工程和物理学中的问题都可以抽象为上述非线性发展方程。

This paper presents fixed point results for a kind of generalized contractive maps and generalized contractive homotopy on space with two metics.

主要讨论在具有二个度量的空间上一类广义压缩映射与广义压缩同伦的不动点定理。

In chapter 2, we first give a generalized type of the Prigons fixed point theorem and a straightforward proof of it. At the same time, we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is bring forwarded by Frigon in [3]. Secondly, by using the introduced function φ, we establish some fixed point theorems for the set-valued φ-contraction mappings in gauge spaces. These results unify and generalize the corresponding results of Cain and Nashed [1], Figon [3], Espinola and Kirk[4], Tarafder [5] et al.

第二章，首先给出Frigon不动点定理[3]的推广及其简洁证明，同时对Frigon在文[3]中提出的关于广义压缩迭代序列收敛性的公开问题给出肯定的回答；然后，通过引入φ函数，在度规空间上建立集值φ-压缩映射的不动点定理，统一并推广了Cain和Nashed[1]，Figon[3]，Espinola和Kirk[4]，Tarafder[5]等的相应结果。

The notions of move generalized quasi-contractive mapping sequence respect to p and generalized Ishikawa-type iteration are introduced in p-convex metric space s.

在p-凸度量空间内，引入关于p的更广义拟压缩映射序列和广义Ish ikawa型迭代序列，证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点。

The author defines the lshikawa iteration process with errors for a sequence nonlinear generalized quasi contractive mapping in convex metric space s and prove that the iterative scheme converges to the unique common fixed point of the sequence of nonlinear generalized quasi contractive mapping.

在凸度量空间内，对非线性广义拟压缩映射序列定义了带误差的 lshikawa迭代序列，证明了带误差的 lshikawa迭代序列收敛于非线性广义拟压缩映射序列的唯一公共不动点。

We prove in this paper that topological entropy is zero, in systems of equivariant mapping, that systems of compression mapping, and systems of the homeomorphism of unit circle onto itself, while the toppological entropy is positive, that extensible mapping in the compact toppological metric space.

证明了在一般的紧致度量空间上，等距映射的系统，压缩映射的系统，单位圆上的自同胚映射的系统等的拓扑熵都为零，而可扩映射的系统有正的拓扑熵。

In this paper, to study fixed-point of compact metric space , and obtain one pair fixed-point theorems of expansion Mapping and compression Mapping.

摘要研究了紧度量空间上的不动点问题。得到扩张映射与压缩映射的不动点定理。

In the forth chapter, the convergence problem of three Ishikawa and modified three Ishikawa iterative sequences under uniformly continuousΦ-strongly pseudo-contractive mapping and approximating pseudo-contractive mapping is

第四章主要讨论了三重迭代序列以及修改了的三重迭代序列在一致连续的Φ-强伪压缩映射、渐近伪压缩映象下的收敛问题，给出了其判别准则和结论描述。

At the end, through a mapping and Banach fixed point theory, the existence and uniqueness of the classical solution to this integrodifferential equation is obtained.

最后建立一个映射，利用Banach压缩映射定理证明了这个积分微分方程存在唯一古典解。

The paper gives stiffness matrix and mass matrix in finite element analysis of the ground vibration problem caused by track traffic by using three-dimension finite element method. Because three-dimension finite element analysis is very difficult, it is transmitted into a quadratic programming, which can be calculated by neural network.

本文融合神经网络技术和遗传算法，对轨道交通引起的地面振动进行了正分析和反演，并利用计算机技术实现了地面振动的三维动画模拟，这主要包括：(1)研究了压缩映射遗传算法，利用Banach空间的不动点定理证明了压缩映射遗传算法可以收敛到全局最优值，弥补了标准遗传算法不能收敛至全局最优值的不足。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。