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- Carisiti's coincidence theorems for fuzzy mappings in probabilistic metric space is given. The main theorems improve and generalize the corresponding results. 给出概率度量空间中模糊影射的克里斯蒂重合定理;这些结果提高和推广了相应的结果.
- 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。
- Metric Construction of Probabilistic Metric Space 概率度量空间中的度量结构
- In this paper, it is intrcdueed that the concepts of probabilistic reta tive precompactness and relative compactness of point set on probabilistic metric spaces, thcir properti s are discussed and their relatio:s are esta blished. 本文引进了概率度量空问的点集概率相对预紧性与相对紧性概念,讨论了它们的性质,建立了二者之间的关系。
- Solvability of Nonlinear Operator Equations in Probabilistic Metric Space 概率度量空间中的一类非线性算子方程的可解性
- FIXED POINT THEOREMS FOR A PAIR OF CONTRACTIVE MAPPINGS IN PROBABILISTIC METRIC SPACE 关于概率度量空间中压缩型映象对的不动点定理
- On the Isometric Isomorphism of Probabilistic Metric Spaces 关于概率度量空间的等距同构
- probabilistic metric space 概率度量空间
- A Fixed-Point Theorem for Non-expansive Type Mapping in Probabilistic Metric Spaces and its Application 概率度量空间上非膨胀型映象的一个不动点定理及其应用
- SOME FIXED POINT THEOREMS OF CONTRACTIVE TYPE MAPS ON SST PROBABILISTIC METRIC SPACES SST概率度量空间上压缩型映射的不动点定理
- 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。
- 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。
- 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