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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。
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. 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。
By using the compatible and subcompatible conditions of self-mapping pair in metric spaces,the existence of common fixed point for a class of contractive mappings in complete metric spaces was discussed.A new common fixed theorem is obtained. 利用度量空间中自映象对相容和次相容的条件;讨论了完备度量空间中一类压缩映象的公共不动点的存在性与唯一性;得到一个新的公共不动点定理.
Common Fixed Point Theorems for Commuting Maps on a Complete Metric Space 完备度量空间上交换映射的公共不动点定理
Two Self-mapping Common Fixed Points for Symmetric Sets and Complete Metric Space 具有对称的集合和完备度量空间上两个自映射的共同不动点
Solvability of a Class of Operator Equations in Partially Ordered Complete Metric Space and in Partially Ordered Banach Space 半序度量空间与半序Banach空间中一类算子方程的可解性
complete metric space 完备度量空间
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。
complete metric spaces 完备度量空间
A new fixed point theorem for non-self-mapping on complete metrically convex metric spaces 完备度量凸空间上非自映射的一个新的不动点定理
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。
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。
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。
Theorem of nested closed interval in R~1 is generalized to generic complete metric space. The theorem in R~n is its particular case. The theorem of accumulation point in R~n can proved by theorem of nested interval in R~n. 从两个方面对实数集R1上的闭区间套定理进行了推广;得到了一般完备度量空间上的闭区间套定理;而一般实数集Rn空间上的闭区间套定理为其特例;并利用Rn空间上的闭区间套定理得到了Rn空间上的聚点定理.
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。
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
Results Three selfmappings theorem of existing and unique of common fixed point were buit, a new theorem of common fixed point in compact metric space was obtained. 结果建立了紧度量空间中3个自映象的公共不动点的存在性和唯一性定理，得到了一个新的公共不动点定理。