度量空间

In this paper, the following statements were proved: is chaintransitive if and only if is chaintransitive; if a homeomorphism is a Lipschitz map, then has the average shadowing property if and only if has the average shadowing property.

设是紧致度量空间，：X→X是连续的，n为任一给定的正整数，证明了：是链可迁的当且仅当是链可迁的；若同胚是Lipschitz映射，则有平均跟踪性当且仅当有平均跟踪性。

The property of the invariant set and measures dimension of the IFS are main objects in the studying of fractal geometry.

完备度量空间上迭代函数系统的不变集性质及测度的维数是分形几何研究的主要对象。

In Chapter 4, for a discrete dynamical system defined on a compact metric space, we prove a necessary and sufficient condition for an invariant set to be a periodic orbit.

第四章，对于定义在紧致度量空间上的离散动力系统，给出了一个不变集是一条周期轨道的一个充分必要条件。

Some new results are gained when the mapping in the metric spaces satisfies the Lipschitz condition.

证明了度量空间之间的满足Lipschitz条件的映射是连续的。

A new category Lip is defined by taking all metric spaces as its objects and the mappings satisfying the Lipschitz condition as its morphisms.

建立了以度量空间为对象、以满足Lipschitz条件的映射为态射的范畴Lip。

The purpose is to study the existence of fixed point theories for set valued mapping s in B metric space.

讨论了B度量空间中一些集值映象的不动点的存在性问题，得到了一些新的不动点定

New maximal element theorem in noncompact hyperconvex metric spaces is established.

bstract 在非紧超凸度量空间中建立了一个新的极大元定理。

As applications,a Ky Fan matching theorem for transfer open covers,a Fan- Browder coincidence theorem and maximal element theorem are established.

作为应用，获得了非紧超凸度量空间中的转移开覆盖的Ky Fan匹配定理，Fan-Browder重合定理和极大元定理。

In this paper, the concept of a WF - fuzzy metric space is introduced.

描述了WF-模糊度量空间的模糊拓扑结构和分明拓扑结构； 3。

However, the discrete metric space is free in the category of

但是，离散度量空间在

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。