1. Metric space is a specific topological space, and it is an important process to understand topological space.

2. The fixed point theorems for generalized D - metric space are proved.

3. 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.

4. This paper gives the metrizable conditions of 2-probabilistic metric space (2-PM space), its distance function and pseudo distance function, thus extends some conclusions of PM-space to 2-PM space.

5. Carisiti's coincidence theorems for fuzzy mappings in probabilistic metric space is given. The main theorems improve and generalize the corresponding results.

6. The paper describes this method from metric space and compression-mapping, and presents its application in mathematical analysis.

7. In finite dimensional space form a bounded open domain, we study some open convex subsets and its topology, then give a complete metric space.

8. In the last section of this chapter, we discuss the relation between flow equivalence and continuous flow equivalence for flows on a compact metric space.

9. We also require an additional hypothesis about the topology of the metric space, the ultrametricity hypothesis.

10. The paper describes this method from the point of metric space and compressionmapping, and presents some of its applications.

11. Meantime, we give a condition of existence unique fixed point for the two self-mapping in the complete metric space.

12. By the parametric representation, fuzzy number means a bounded continuous curve in the two-dimensional metric space R2, so that it is easy to analyze fuzzy differential equations.

13. In this paper, the pointwise pseudo-orbit tracing property is defined on a compact metric space, and it is a generalization of pseudo-orbit tracing property.

14. In this paper, we study the complexity of transitive continuous semi - flow on compact metric space.

15. The sufficient and necessary conditions of two single-valued mapping and a set-valued mapping with the only common fixed point in complete metric space are discussed.

16. In this paper, it is proved that in the uniform convexity linear metric space there exists a unique best simultaneous approximation element.

17. The conceptions of DL3-similarity degree and pseudo-metric on two formulas are given. DL3-logic metric space is built. And it is proved that this space has no isolated point.

18. A new fixed point theorem for non-self-mapping on a complete metrically convex metric space is given.

19. Because of the asymmetry of the quasi- metric , the concept of left (right) fixed point of the mapping from a quasi- metric space to itself is given.Sentencedict

20. In this paper, we study the sensitivity and the topological property of periodic points for topologically transitive semi-flows on a metric space.

21. In this paper, a necessary and a sufficient condition for the continuous map on a compact metric space whose set of period points has the property of locally metric stability is obtained.

22. In this paper, we will give a new type of fixed point theorem for non - self - mapping in a complete metrically convex metric space.

23. In this paper we study the linear semi-infinite programming with finitely many variables and infinitely many constraints over a compact metric space. An interior path-following approach is proposed.

24. 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.

25. Aim In order to develop and improve the fixed point theorem in metric space and extend the application.

26. We propose an extremely simple and efficient Shortest path algorithm that computes an optimal shortest path between a pair of points in a metric space.

27. A class of new KKM theorems are obtained in a newly defined G-convex metric space. These theorems unify, improve and develop the corresponding results in literature.