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Let A(u),u U be perturbation subests of a linear metric space E and C(u), U be perturbation comex cones of E . 设A（u）,uU,是线性度量空间E中的受扰动的非空子集。 C（u）,uE从是E中受优动的凸锥。
completely linear metric spaces 完备线性度量空间
linear metric space 线性度量空间
Logical metric space is an importent frame in approximate reasoning. 摘要逻辑度量空间是近似推理的重要框架。
These results improve and generalize the theories of images of generalized metric spaces. 这些结果改进并推广了广义度量空间映射象的有关理论。
In the present paper, some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric spaces. 文章给出了超凸度量空间中的一些变分不等式定理和极大极小不等式定理.
Xu, at el but also give an affirmative answer to the open question of Rhoades_Naimpally_Singh in convex metric spaces. Xu等人的相应结果 ,而且对Rhoades_Naimplally_Singh所提出的公开问题 ,在凸度量空间的框架下给出了肯定的答复·
As their applications, we get the fixed point theorems of increasing mappings in the probabilistic metric spaces. 作为其应用，得到了概率度量空间中增映射的几个不动点定理。
In this paper , some results on fixed points of homeomorphic maps in metric spaces have been obtained. 本文给出了度量空间中某些同胚非扩张映射不动点存在的充分必要条件。
The two kinds of density of WF - fuzzy metric spaces and the two kinds of separability corresponding to them are researched. 研究了WF-模糊度量空间中的两种稠密性(稠密与层层稠密)及与之相应的两种可分性(可分与层层可分)；
In this paper, an internal characterization of the compactcovering compact images of lo-cally separable metric spaces is given. 给出了局部可分度量空间的紧复盖紧映象的刻画。
Methods The commutative condition of selfmapping pairs are applied in metric space. 方法利用度量空间中自映象对的可交换性条件。
At the same time, it is shown that on many compact metric spaces there exist TDS for which the whole space is a chaotic set. 上述结果提供了解决类似问题的一般框架并且覆盖了十几年来相关问题研究中的几乎所有结果。
Aim In order to develop and improve the fixed point theorem in metric space and extend the application. 摘要目的为了进一步发展和完善度量空间中的不动点理论，扩展不动点定理的应用范围。
Metric space is a specific topological space, and it is an important process to understand topological space. 摘要度量空间是一类特殊的拓扑空间，并且它是理解拓扑空间的一个重要过程。
In section 2.2, it is proved that if an expansive homeomorphism of a compact metric space have the POTP, then it has the POTP in its basic sets. 2节证明了：对于紧致度量空间上的自同胚，若它有伪轨跟踪性且是膨胀的，则它在链分支上保持伪轨跟踪性。
The reals are a contractible (hence connected and simply connected), separable metric space of dimension 1, and are everywhere dense. 由于实数集中只有可数集个数的元素可能是代数数，绝大多数实数是超越数。
It is proved that a homeomorphism on a compact metric space with the average shadowing property has only one chain component which is the whole space. 证明了紧致度量空间上具有平均伪轨跟踪性质的同胚只有一个链分支,这个链分支就是全空间。
In finite dimensional space form a bounded open domain, we study some open convex subsets and it's topology, then give a complete metric space. 摘要考虑了在有限维空间中包含在某一有界开区域中的所有有界开凸子集所成空间上的拓扑，给出了一个相关的完备的度量空间。
The fixed point theorems on a class of contraction mappings on the metric space is proved,which contain Matkowski's,Boyd and Wong's,Dugundji and Granas' fixed point theorems. 证明了度量空间中一类收缩映像的不动点定理，它包含Matkowski不动点定理、Boyd－Wong不动点定理及Dugundji－Granas不动点定理