完备空间

Hausdorff半距离。在分形几何与集值分析的研究中，采用的是对称的Hausdorff距离所构成的完备度量空间，文章证明Hausdorff半距离空间是上完备空间。

Hausdorff semi-metric : In the research of fractal geometry and set-valued analysis , the complete metric space with symmetrical Hausdorff distance is utilized . In this paper , the upper completeness of Hausdorff semi-metric space is proved .

提出完备空间（x，d）到其全部非空子集族B（x）的下半连续集值映射一条不动点定理，使Clarke[1]不动点定理成为这一定理的特例。

We indicate a no moving point theorem of complete space ( x , d ) to the last half continuous set magnitude mapping of its not empty subset group B ( x ), which makes the Clarke no moving point theorem become its exception .

若X是完备空间，Y是mosaic空间，则X×Y也是完备空间。

If X is a perfect space , Y is an mosaic space , then X × Y is also a perfect space .

引入并研究了一类严格介于完备空间与D-正规空间之间的空间&集态D-正规空间，证明了空间X是集态D-正规空间当且仅当X是集态δ-正规且D-正规的。

In this paper , we introduce and investigate collectionwise D-normal spaces , which strictly exists between perfect and D-normal spaces . It is proved that a space is collectionwise D-normal if , and only if , it is collectionwise δ - normal and D-normal .

d-完备空间中w-连续映射的不动点

Fixed point for w-continuous mapping in d - complete space

完备空间中集值映射的积分

Integration of set-valued mapping with values in the complete spaces

基于邻近域的不完备空间数据探测方法

Nearest-neighbors based approach for detection of incomplete spatial Data

在度量空间中引入w距离，证明了在完备度量空间中交换映射的3个公共不动点定理。

The concept of w distance on a metric space is introduced and three common fixed points theorems for commuting maps on a complete metric space are proved .

称局部紧完备度量空间上的Radon测度为强Radon测度，若每个有界集的测度都是有限的。

A Radon measure on a locally compact complete metric space is called a strong Radon measure if each bounded set has finite measure .

证明了在完备度量空间上f是传递的当且仅当f是不可分解的且没有游荡点。

By generalizing transitivity , the concept of inseparability is presented . We show that on complete metric space , f is transitive if and only if f is inseparable and has no wandering points .

构造了非简谐振子湮没算符高次幂的广义本征态，发现它们构成完备Hilbert空间。

The generalized eigenstates of the higher power of the annihilation operator for a non harmonic oscillator are constructed It is found that they form a complete Hilbert space .

本文讨论了完备概率空间（Ω，ξ，P）上完备子σ-域之间条件独立性的关系，指出其若干重要性质，并叙述了这些性质在多指标随机过程理论中的应用。

In this paper we discussed the conditional independence of the complete sub - σ - fields in the complete probability space (Ω,??, P ) . We pointed out its several important properties and some results applying to the theory of stochastic processes with a multidimensional parameter .

根据Banach的不动点定理，我们定义了不扩张的进程表达式在这个完备度量空间上的度量指称语义，这项研究工作对形式验证和系统优化都具有重要的理论意义和现实意义。

Due to Banach 's fixed point theorem , we can define a metric semantics for the contractive process expressions on this complete metric space . This work is important for formal verification and systems optimization .

设A（X）是完备距离空间X上具有有本支撑的概率全体，并被赋以Hutchison度量。本文解决了A（X）元素按Markov算子送代的收效性。

Discuses and solves the iterative convergency of A ( X ) s element according to Markov operator , where X is a complete metric space and A ( X ) denotes the space of Borel probabilities on X equipped with Hutchison metric .

完备度量空间上四个映射的公共不动点

Common Fixed Points of Four Mappings in a Complete Metric Space

实用完备模态空间中的相容修正模型

A Compatible Modified Model Based on the Practical Complete Modal Space

完备度量空间上图定向自相似测度的局部维数

The Pointwise Dimension of Graph-directed Self-similar Measures in Complete Metric Spaces

完备度量空间与线性赋范空间中的不动点

Fixed Points on Complete Metric Spaces and Normed Linear Spaces

基于实用完备模态空间的两阶段损伤识别方案

Two-stage damage identification scheme based on practical complete modal space

实用完备模态空间及其应用

Study on Practical Complete Modal Space and Application

精确动柔动式是依赖作者提出的实用完备模态空间建立的。

This technique uses the dynamic flexibility method and is based on the practical complete modal space approach .

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。

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

在完备度量空间获得了半紧非扩张映象的近似耦合不动点的存在性和耦合不动点的逼近定理。

In the paper , We have obtain the existence and the theorems for approximations couple fixed point of semi compact nonexpansive mappings in complete metric space .

通过本文论证，文[2][4]之解的唯一性问题明确解决了，即为一个实用完备模态空间中的确定解。

In addition , the demonstration has also revealed the uniqueness of the solution in Ref. 2 and 4 , which is a definite one in practical complete modal space .

在完备度量空间中给出了弱交换自映象的公共不动点定理，改进和推广了[1～4]中的主要结果。

In the present paper we establish a common fixed point theorem for weakly commuting self mappings in complete metric space . Our main results improve and extend the results in .

研究了在完备度量空间中一对模糊映象满足一些特定不等式条件，以及当其截集是中非空有界闭集时，该对模糊映象的公共不动点的存在性问题。

Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of , while is complete metric space .

本文论述了集合上的度量、度量空间的性质、度量拓扑、可度量化空间、完备度量空间、及一阶电路中的度量空间。

The measurement in set theory , the properties of Metric Space , Measurement Topology , Measurable Space , Perfect Metric Space and its application in first order circuit are explored in this paper .

随着传统园林数千年的发展演变，园桥也随之变化，发展成一种类型丰富、形态多样、功能完备、空间合理的园林建筑形式。

The art has been passed for several thousand years , and the designs of garden-bridge also have been changed to have rich-types , variety of forms , completeness of functions , and rational of spaces .

在完备度量空间中采用映象的生成轨道方法证明了一类多元压缩型映象的耦合不动点的存在与唯一性，及其迭代收敛性定理。

By applying the method of span-orbit mappings in a complete metric space , this paper proves the existence and uniqueness , and the iterative convergence theorem of coupled fixed point of a class of multivariate contractive-type mappings .

本文讨论第<16>类压短型映象的不动点和聚点的存在性，给出了两个定理并且将定理推广到半度量和不完备的空间。

The relations between existence ot a fixed-point and a cluster point for contractive-type mappings of ( 16 ) class are discussed in this paper . We obtain two theorems which arc expanded to semi-metric and incomplete space .